NAME DATE PERIOD. Find the perimeter and area of each parallelogram. Round to the nearest tenth if necessary. 4 ft. 22 in. 45.

Size: px
Start display at page:

Download "NAME DATE PERIOD. Find the perimeter and area of each parallelogram. Round to the nearest tenth if necessary. 4 ft. 22 in. 45."

Transcription

1 - Skills Practice Area of Parallelograms Find the perimeter and area of each parallelogram Round to the nearest tenth if necessary 0 cm 0 0 cm 4 ft 55 ft 0 4 yd 4 7 yd 45 in 45 in Lesson m 5 km 9 km Find the area of each figure 7 4 CRDINATE GEMETRY Given the coordinates of the vertices of a quadrilateral, determine whether it is a square, a rectangle, or a parallelogram Then find the area of the quadrilateral 9 A(4, ), B(, ), C(, ), 0 P(, ), Q(, ), R(, ), D(4, ) S(, ) D(5, ), E(7, ), F(4, 4), R(, ), S(4, 0), T(, 0), G(, 4) U(0, ) Glencoe/McGraw-Hill Glencoe Geometry

2 - Reading to Learn Mathematics Areas of Triangles, Trapezoids, and Rhombi Pre-Activity How is the area of a triangle related to beach umbrellas? Read the introduction to Lesson - at the top of page 0 in your tetbook Classify the polygons in the panels of the beach umbrella Reading the Lesson Match each area formula from the first column with the corresponding polygon in the second column a A w i triangle b A d d ii parallelogram c A s iii trapezoid d A h(b b ) iv rhombus e A bh v square f A bh vi rectangle Determine whether each statement is always, sometimes, or never true In each case, eplain your reasoning a The area of a square is half the product of its diagonals Lesson - b The area of a triangle is half the product of two of its sides c You can find the area of a rectangle by multiplying base times height d You can find the area of a rectangle by multiplying the lengths of any two of its sides e The area of a trapezoid is the product of its height and the sum of the bases f The square of the length of a side of a square is equal to half the product of its diagonals Helping You Remember A good way to remember a new geometric formula is to state it in words Write a short sentence that tells how to find the area of a trapezoid in a way that is easy to remember Glencoe/McGraw-Hill Glencoe Geometry

3 - Enrichment Areas of Similar Triangles You have learned that if two triangles are similar, the ratio of the lengths of corresponding altitudes is equal to the ratio of the lengths of a pair of corresponding sides However, there is a different relationship between the areas of the two triangles Theorem If two triangles are similar, the ratio of their areas is the square of the ratio of the lengths of a pair of corresponding sides Triangle II is k times larger than Triangle I Thus, its base is k times as large as that of Triangle I and its height is k times as large as that of Triangle I s ide of side o II f I k b b or k a rea of II k bh or k area of I bh h b Triangle I area I bh kh kb Triangle II area II (kb)(kh) k bh Solve DEF GHJ, HJ, and EF In the figure below, PQ BC The area of The area of GHJ is 40 Find the area ABC is 7 Find the area of APQ of DEF D A 4 E F P Q G H J B C Two similar triangles have areas of and The length of a side of the smaller triangle is 0 feet Find the length of the corresponding side of the larger triangle 4 Find the ratio of the areas of two similar triangles if the lengths of two corresponding sides of the triangles are centimeters and 5 centimeters Glencoe/McGraw-Hill Glencoe Geometry

4 - Skills Practice Areas of Regular Polygons and Circles Find the area of each regular polygon Round to the nearest tenth a pentagon with a perimeter of 45 feet a heagon with a side length of 4 inches a nonagon with a side length of meters 4 a triangle with a perimeter of 54 centimeters Find the area of each circle Round to the nearest tenth 5 a circle with a radius of yards a circle with a diameter of millimeters Find the area of each shaded region Assume that all polygons are regular Round to the nearest tenth 7 4 m Lesson - in m ft 5 cm Glencoe/McGraw-Hill 5 Glencoe Geometry

5 -4 Skills Practice Areas of Irregular Figures Find the area of each figure Round to the nearest tenth if necessary y C(, ) y P(0, 7) R(, 7) B(, 5) A(0, 0) D(, 5) E(, 0) Q(, 5) T(, ) U(0, 0) S(, 0) 7 y J(, 4) K(5, 4) E(, 4) F(, 4) y L(, 0) M(, ) D(, ) H(, ) G(4, ) Lesson -4 Glencoe/McGraw-Hill Glencoe Geometry

6 -4 Reading to Learn Mathematics Areas of Irregular Figures Pre-Activity How do windsurfers use area? Read the introduction to Lesson -4 at the top of page 7 in your tetbook How do you think the areas of the figures outlined in the picture of the sail are related? Reading the Lesson Use dashed segments to show how each figure can be subdivided into figures for which you have learned area formulas Name the smaller figures that you have formed as specifically as possible and indicate whether any of them are congruent to each other a b c In the figure, B is the midpoint of ABC Complete the following steps to derive a formula for the area of the shaded region in terms of the radius r of the circle The area of circle P is mabc mab mbc because AB BC because Therefore, ABC is a(n) because triangle AC, so AB and BC The area of ABC is Therefore, the area of the shaded region is given by B A C P Lesson -4 A Helping You Remember Rolando is having trouble remembering when to subtract an area when finding the area of an irregular figure How can you help him remember? Glencoe/McGraw-Hill Glencoe Geometry

7 -5 Study Guide and Intervention Geometric Probability Geometric Probability The probability that a point in a figure will lie in a particular part of the figure can be calculated by dividing the area of the part of the figure by the area of the entire figure The quotient is called the geometric probability for the part of the figure If a point in region A is chosen at random, then the probability P(B) that the point is in region B, which is in the interior of region A, is P(B) a rea of region B area of region A Eample Darts are thrown at a circular dartboard If a dart hits the board, what is the probability that the dart lands in the bull s-eye? Area of bull s-eye: A () or 4 Area of entire dartboard: A (0) or 00 The probability of landing in the bull s-eye is area of bull s-eye area of dartboard 4 00 or in in 4 in Eercises Find the probability that a point chosen at random lies in the shaded region Round to the nearest hundredth if necessary cm cm cm Lesson -5 Glencoe/McGraw-Hill 5 Glencoe Geometry

8 -5 Sectors and Segments of Circles A sector of a circle is a region of a circle bounded by a central angle and its intercepted arc A segment of a circle is bounded by a chord and its arc Geometric probability problems sometimes involve sectors or segments of circles If a sector of a circle has an area of A square units, a central angle measuring N, and a radius of r units, then A N 0 r Eample A regular heagon is inscribed in a circle with diameter Find the probability that a point chosen at random in the circle lies in the shaded region The area of the shaded segment is the area of sector AF the area of AF N Area of sector AF 0 r 0 ( 0 ) Area of AF bh ()() 9 The shaded area is 9 or about The probability is ar ea of se area of gment circle or about 00 Eercises Study Guide and Intervention (continued) Geometric Probability Find the probability that a point in the circle chosen at random lies in the shaded region Round to the nearest hundredth A B F C E D segment sector cm in Glencoe/McGraw-Hill Glencoe Geometry

9 Answers (Lesson -) - Skills Practice Area of Parallelograms Glencoe/McGraw-Hill Glencoe Geometry Answers Lesson - Find the perimeter and area of each parallelogram Round to the nearest tenth if necessary 0 cm 55 ft 0 0 cm 4 ft 0 00 cm, 59 cm 9 ft, 9 ft 4 yd 4 in in 7 yd yd, 9 yd 9 in, 4045 in 5 4 m 5 km 9 km m, m 55 km, 5 km Find the area of each figure units 5 units CRDINATE GEMETRY Given the coordinates of the vertices of a quadrilateral, determine whether it is a square, a rectangle, or a parallelogram Then find the area of the quadrilateral 9 A(4, ), B(, ), C(, ), 0 P(, ), Q(, ), R(, ), D(4, ) S(, ) square, 9 units rectangle, 4 units D(5, ), E(7, ), F(4, 4), R(, ), S(4, 0), T(, 0), G(, 4) U(0, ) parallelogram, 0 units parallelogram, 5 units - Practice (Average) Area of Parallelograms Find the perimeter and area of each parallelogram Round to the nearest tenth if necessary 5 m cm 0 in 0 45 m 0 cm 45 m, 47 m cm, 5 cm 4 in, 50 in Find the area of each figure units 5 units CRDINATE GEMETRY Given the coordinates of the vertices of a quadrilateral, determine whether it is a square, a rectangle, or a parallelogram Then find the area of the quadrilateral C(4, ), D(4, ), F(, ), G(, ) 7 W(, ), X(, ), Y(, ), Z(, ) rectangle, 5 units parallelogram, units M(0, 4), N(4, ), (, ), P(, 0) 9 P(5, ), Q(4, ), R(5, 5), S(4, 5) square, 0 units parallelogram, 7 units FRAMING For Eercises 0, use the following information A rectangular poster measures 4 inches by inches A frame shop fitted the poster with a half-inch mat border 0 Find the area of the poster 09 in Find the area of the mat border 9 in Suppose the wall is marked where the poster will hang The marked area includes an additional -inch space around the poster and frame Find the total wall area that has been marked for the poster 47 in Glencoe/McGraw-Hill 4 Glencoe Geometry Glencoe/McGraw-Hill A Glencoe Geometry

10 - Reading to Learn Mathematics Areas of Triangles, Trapezoids, and Rhombi Glencoe/McGraw-Hill Glencoe Geometry Answers Lesson - Pre-Activity How is the area of a triangle related to beach umbrellas? Read the introduction to Lesson - at the top of page 0 in your tetbook Classify the polygons in the panels of the beach umbrella Isosceles triangles and isosceles trapezoids Reading the Lesson Match each area formula from the first column with the corresponding polygon in the second column a A w vi i triangle b A d d iv ii parallelogram c A s v iii trapezoid d A h(b b ) iii iv rhombus e A bh i v square f A bh ii vi rectangle Determine whether each statement is always, sometimes, or never true In each case, eplain your reasoning For eplanations, sample answers are given a The area of a square is half the product of its diagonals Always; a square is a rhombus, so you can use the rhombus formula b The area of a triangle is half the product of two of its sides Sometimes; this is true only for a right triangle c You can find the area of a rectangle by multiplying base times height Always; a rectangle is a parallelogram, so you can use the parallelogram formula If the length of a rectangle is used as the base, then the width is the height d You can find the area of a rectangle by multiplying the lengths of any two of its sides Sometimes; this is true only for a square therwise, you must use two consecutive sides, not any two sides e The area of a trapezoid is the product of its height and the sum of the bases Never; the area is one-half the product of its height and the sum of the bases f The square of the length of a side of a square is equal to half the product of its diagonals Always; a square is a rhombus, so the formulas for a square and a rhombus must give the same answer whenever the rhombus is a square Helping You Remember A good way to remember a new geometric formula is to state it in words Write a short sentence that tells how to find the area of a trapezoid in a way that is easy to remember Sample answer: Average the lengths of the bases and multiply by the height Areas of Similar Triangles You have learned that if two triangles are similar, the ratio of the lengths of corresponding altitudes is equal to the ratio of the lengths of a pair of corresponding sides However, there is a different relationship between the areas of the two triangles Theorem If two triangles are similar, the ratio of their areas is the square of the ratio of the lengths of a pair of corresponding sides Triangle II is k times larger than Triangle I Thus, its base is k times as large as that of Triangle I and its height is k times as large as that of Triangle I s s a a d d e e o f o f I I I r e a r e a k b o f o f I I I b k or or k Triangle I area I bh Triangle II area II (kb)(kh) k bh Solve DEF GHJ, HJ, and EF In the figure below, PQ BC The area of The area of GHJ is 40 Find the area ABC is 7 Find the area of APQ of DEF 0 D E F G P A 4 Q H J B C Two similar triangles have areas of and The length of a side of the smaller triangle is 0 feet Find the length of the corresponding side of the larger triangle 5 ft 4 Find the ratio of the areas of two similar triangles if the lengths of two corresponding sides of the triangles are centimeters and 5 centimeters 9 5 Glencoe/McGraw-Hill Glencoe Geometry i i Answers (Lesson -) - Enrichment h kh k bh bh b kb Glencoe/McGraw-Hill A7 Glencoe Geometry

11 Answers (Lesson -) - Skills Practice Areas of Regular Polygons and Circles Glencoe/McGraw-Hill 5 Glencoe Geometry Answers Lesson - Find the area of each regular polygon Round to the nearest tenth a pentagon with a perimeter of 45 feet 94 ft a heagon with a side length of 4 inches 4 in a nonagon with a side length of meters 95 m 4 a triangle with a perimeter of 54 centimeters 40 cm Find the area of each circle Round to the nearest tenth 5 a circle with a radius of yards yd a circle with a diameter of millimeters 545 mm Find the area of each shaded region Assume that all polygons are regular Round to the nearest tenth 7 4 m in m in 94 m ft 5 cm 9 ft 5 cm - Practice (Average) Areas of Regular Polygons and Circles Find the area of each regular polygon Round to the nearest tenth a nonagon with a perimeter of 7 millimeters 0447 mm an octagon with a perimeter of 9 yards 95 yd Find the area of each circle Round to the nearest tenth a circle with a diameter of feet 509 ft 4 a circle with a circumference of kilometers km Find the area of each shaded region Assume that all polygons are regular Round to the nearest tenth 5 cm 44 in 44 cm 57 in 7 5 ft 9 m 97 ft 4 m DISPLAYS For Eercises 9 and 0, use the following information A display case in a jewelry store has a base in the shape of a regular octagon The length of each side of the base is 0 inches The owners of the store plan to cover the base in black velvet 9 Find the area of the base of the display case about 4 in 0 Find the number of square yards of fabric needed to cover the base about 07 yd Glencoe/McGraw-Hill Glencoe Geometry Glencoe/McGraw-Hill A9 Glencoe Geometry

12 Answers (Lesson -4) Lesson -4-4 Skills Practice Areas of Irregular Figures Find the area of each figure Round to the nearest tenth if necessary units 40 units units 7 units 0 5 y C(, ) y P(0, 7) R(, 7) B(, 5) D(, 5) Q(, 5) T(, ) E(, 0) U(0, 0) S(, 0) A(0, 0) 40 units 0 units 7 y y J(, 4) K(5, 4) E(, 4) F(, 4) G(4, ) L(, 0) M(, ) D(, ) H(, ) 55 units 0 units Glencoe/McGraw-Hill Glencoe Geometry -4 Practice (Average) Areas of Irregular Figures Find the area of each figure Round to the nearest tenth if necessary units 9 units units 954 units 5 y y D(, 5) Q(, ) E(4, 4) B(, ) C(, 4) P(, ) R(4, ) A(, 0) F(4, 0) T(, ) S(, 0) 05 units units LANDSCAPING For Eercises 7 and, use the following information ne of the displays at a botanical garden is a koi pond with a walkway around it The figure shows the dimensions of the pond and the walkway 7 ft 5 ft ft 5 ft 7 Find the area of the pond to the nearest tenth 95 ft Find the area of the walkway to the nearest tenth 57 ft Glencoe/McGraw-Hill Glencoe Geometry Glencoe/McGraw-Hill A Glencoe Geometry

13 -4 Reading to Learn Mathematics Areas of Irregular Figures Glencoe/McGraw-Hill Glencoe Geometry Answers Lesson -4 Pre-Activity How do windsurfers use area? Read the introduction to Lesson -4 at the top of page 7 in your tetbook How do you think the areas of the figures outlined in the picture of the sail are related? Sample answer: The areas get smaller as you move further up the sail The area of the triangle is smaller than the area of any of the trapezoids Reading the Lesson Use dashed segments to show how each figure can be subdivided into figures for which you have learned area formulas Name the smaller figures that you have formed as specifically as possible and indicate whether any of them are congruent to each other Sample answers are given a b c rectangle and square and rectangle and isosceles triangle two congruent two congruent isosceles triangles semicircles In the figure, B is the midpoint of ABC Complete the following steps to derive a formula for the area of the shaded region in terms of the radius r of the circle The area of circle P is r A mabc 90 because Sample answer: It is an inscribed angle that intercepts a semicircle mab mbc because Sample answer: B is the midpoint of ABC (definition of midpoint) AB BC because Sample answer: If two minor arcs of a circle are congruent, their corresponding chords are congruent Therefore, ABC is a(n) isosceles right or triangle B C P r or r r or r AC r, so AB and BC r r The area of ABC is r Therefore, the area of the shaded region is given by A r r r Helping You Remember Rolando is having trouble remembering when to subtract an area when finding the area of an irregular figure How can you help him remember? Sample answer: Subtract when there is an indentation, or a hole in the figure Aerial Surveyors and Area Many land regions have irregular shapes Aerial surveyors often use coordinates when finding areas of such regions The coordinate method described in the steps below can be used to find the area of any polygonal region Study how this method is used to find the area of the region at the right Step List the ordered pairs for the vertices in counter-clockwise order, repeating the first ordered pair at the bottom of the list Step Find D, the sum of the downward diagonal products (from left to right) D (5 5) ( ) ( ) ( 7) 5 4 or 75 Step Find U, the sum of the upward diagonal products (from left to right) U ( 7) ( 5) ( ) (5 ) or 45 Step 4 Use the formula A (D U) to find the area A (D U) (75 45) (0) or 5 The area is 5 square units Count the number of square units enclosed by the polygon Does this result seem reasonable? Use the coordinate method to find the area of each region in square units y y y 0 units 4 units 4 units Glencoe/McGraw-Hill 4 Glencoe Geometry Answers (Lesson -4) -4 Enrichment y (, 5) (5, 7) (, ) (, ) (5, 7) (, 5) (, ) (, ) (5, 7) Glencoe/McGraw-Hill A Glencoe Geometry

14 Lesson -5-5 Study Guide and Intervention Geometric Probability Geometric Probability The probability that a point in a figure will lie in a particular part of the figure can be calculated by dividing the area of the part of the figure by the area of the entire figure The quotient is called the geometric probability for the part of the figure If a point in region A is chosen at random, then the probability P(B) that the point is in region B, which is in the interior of region A, is P(B) a e a o e a e a o g o n B e g o n A Eample Darts are thrown at a circular dartboard If a dart hits the board, what is the probability that the dart lands in the bull s-eye? Area of bull s-eye: A () or 4 Area of entire dartboard: A (0) or 00 The probability of landing in the bull s-eye is area of bull s-eye area of dartboard or in in 4 in Eercises Find the probability that a point chosen at random lies in the shaded region Round to the nearest hundredth if necessary cm cm cm Glencoe/McGraw-Hill 5 Glencoe Geometry -5 Study Guide and Intervention (continued) Geometric Probability Sectors and Segments of Circles A sector of a circle is a region of a circle bounded by a central angle and its intercepted arc A segment of a circle is bounded by a chord and its arc Geometric probability problems sometimes involve sectors or segments of circles segment sector If a sector of a circle has an area of A square units, a central angle N measuring N, and a radius of r units, then A 0 r Eample A regular heagon is inscribed in a circle with diameter Find the probability that a point chosen at random in the circle lies in the shaded region The area of the shaded segment is the B C area of sector AF the area of AF N Area of sector AF 0 r 0 ( 0 ) Area of AF bh A D F E ()() 9 The shaded area is 9 or about The probability is ar a e r a ea of o s e g f c ir m cl e nt e or about 00 Eercises Find the probability that a point in the circle chosen at random lies in the shaded region Round to the nearest hundredth cm 4 in Glencoe/McGraw-Hill Glencoe Geometry r r f r f r i i Answers (Lesson -5) Glencoe/McGraw-Hill A4 Glencoe Geometry

11-1 Study Guide and Intervention

11-1 Study Guide and Intervention 11-1 Study Guide and Intervention reas of Parallelograms reas of Parallelograms parallelogram is a quadrilateral with both pairs of opposite sides parallel. ny side of a parallelogram can be called a base.

More information

NAME DATE PERIOD. Areas of Parallelograms and Triangles. Review Vocabulary Define parallelogram in your own words. (Lesson 6-2)

NAME DATE PERIOD. Areas of Parallelograms and Triangles. Review Vocabulary Define parallelogram in your own words. (Lesson 6-2) 11-1 Areas of Parallelograms and Triangles What You ll Learn Skim Lesson 11-1. Predict two things you expect to learn based on the headings and the Key Concept box. 1. Active Vocabulary 2. Review Vocabulary

More information

Chapter 11 Areas of Polygons and Circles

Chapter 11 Areas of Polygons and Circles Section 11-1: Areas of Parallelograms and Triangles SOL: G.14 The student will use similar geometric objects in two- or three-dimensions to a) compare ratios between side lengths, perimeters, areas, and

More information

Study Guide and Intervention

Study Guide and Intervention Study Guide and Intervention Areas of Regular Polygons In a regular polygon, the segment drawn from the center of the polygon perpendicular to the opposite side is called the apothem. In the figure at

More information

Chapter Test Form A. 173 Holt Geometry. Name Date Class. 1. Find the area of the triangle.

Chapter Test Form A. 173 Holt Geometry. Name Date Class. 1. Find the area of the triangle. Form A 1. Find the area of the triangle. 6. A square has a perimeter of 8 inches. Find the area of the square. cm 7. Find the circumference of C in terms of.. Find the area of the parallelogram. 11 cm

More information

2 nd Semester Geometry Review Packet. In the diagram, ABCDE ~ FGHJK. 1) Find the value of x. 2) Find the perimeter of ABCDE.

2 nd Semester Geometry Review Packet. In the diagram, ABCDE ~ FGHJK. 1) Find the value of x. 2) Find the perimeter of ABCDE. In the diagram, ABCDE ~ FGHJK. 1) Find the value of x. 2) Find the perimeter of ABCDE. Determine whether the triangles are similar. If so, write a similarity statement and the postulate or theorem that

More information

Geometry Chapter 11 Areas of Circles and Polygons HOMEWORK Name: Period:

Geometry Chapter 11 Areas of Circles and Polygons HOMEWORK Name: Period: Geometry Capter 11 Areas of Circles and Polygons HOMEWORK Name: Period: 1 Free Plain Grap Paper from ttp://incompetec.com/grappaper/plain/ Free Plain Grap Paper from ttp://incompetec.com/grappaper/plain/

More information

Ready To Go On? Skills Intervention 9-1 Developing Formulas for Triangles and Quadrilaterals

Ready To Go On? Skills Intervention 9-1 Developing Formulas for Triangles and Quadrilaterals 9A Ready To Go On? Skills Intervention 9-1 Developing Formulas for Triangles and Quadrilaterals Finding Measurements of Parallelograms Find each measurement. A. the area of the parallelogram A b Use the

More information

STANDARDS OF LEARNING CONTENT REVIEW NOTES HONORS GEOMETRY. 3 rd Nine Weeks,

STANDARDS OF LEARNING CONTENT REVIEW NOTES HONORS GEOMETRY. 3 rd Nine Weeks, STANDARDS OF LEARNING CONTENT REVIEW NOTES HONORS GEOMETRY 3 rd Nine Weeks, 2016-2017 1 OVERVIEW Geometry Content Review Notes are designed by the High School Mathematics Steering Committee as a resource

More information

Perimeter and Area. Slide 1 / 183. Slide 2 / 183. Slide 3 / 183. Table of Contents. New Jersey Center for Teaching and Learning

Perimeter and Area. Slide 1 / 183. Slide 2 / 183. Slide 3 / 183. Table of Contents. New Jersey Center for Teaching and Learning New Jersey Center for Teaching and Learning Slide 1 / 183 Progressive Mathematics Initiative This material is made freely available at www.njctl.org and is intended for the non-commercial use of students

More information

Geometry 2 Final Review

Geometry 2 Final Review Name: Period: Date: Geometry 2 Final Review 1 Find x in ABC. 5 Find x in ABC. 2 Find x in STU. 6 Find cos A in ABC. 3 Find y in XYZ. 7 Find x to the nearest tenth. 4 Find x in HJK. 8 Find the angle of

More information

Review: What is the definition of a parallelogram? What are the properties of a parallelogram? o o o o o o

Review: What is the definition of a parallelogram? What are the properties of a parallelogram? o o o o o o Geometry CP Lesson 11-1: Areas of Parallelograms Page 1 of 2 Objectives: Find perimeters and areas of parallelograms Determine whether points on a coordinate plane define a parallelogram CA Geometry Standard:

More information

STANDARDS OF LEARNING CONTENT REVIEW NOTES GEOMETRY. 3 rd Nine Weeks,

STANDARDS OF LEARNING CONTENT REVIEW NOTES GEOMETRY. 3 rd Nine Weeks, STANDARDS OF LEARNING CONTENT REVIEW NOTES GEOMETRY 3 rd Nine Weeks, 2016-2017 1 OVERVIEW Geometry Content Review Notes are designed by the High School Mathematics Steering Committee as a resource for

More information

Vocabulary. Term Page Definition Clarifying Example. apothem. center of a circle. center of a regular polygon. central angle of a regular polygon

Vocabulary. Term Page Definition Clarifying Example. apothem. center of a circle. center of a regular polygon. central angle of a regular polygon CHAPTER 9 Vocabulary The table contains important vocabulary terms from Chapter 9. As you work through the chapter, fill in the page number, definition, and a clarifying example. apothem Term Page Definition

More information

1. AREAS. Geometry 199. A. Rectangle = base altitude = bh. B. Parallelogram = base altitude = bh. C. Rhombus = 1 product of the diagonals = 1 dd

1. AREAS. Geometry 199. A. Rectangle = base altitude = bh. B. Parallelogram = base altitude = bh. C. Rhombus = 1 product of the diagonals = 1 dd Geometry 199 1. AREAS A. Rectangle = base altitude = bh Area = 40 B. Parallelogram = base altitude = bh Area = 40 Notice that the altitude is different from the side. It is always shorter than the second

More information

Geometry Final Exam - Study Guide

Geometry Final Exam - Study Guide Geometry Final Exam - Study Guide 1. Solve for x. True or False? (questions 2-5) 2. All rectangles are rhombuses. 3. If a quadrilateral is a kite, then it is a parallelogram. 4. If two parallel lines are

More information

EOC Review: Practice: 1. In the circle below, AB = 2BC. What is the probability of hitting the shaded region with a random dart?

EOC Review: Practice: 1. In the circle below, AB = 2BC. What is the probability of hitting the shaded region with a random dart? EOC Review: Focus Areas: Trigonometric Ratios Area and Volume including Changes in Area/Volume Geometric Probability Proofs and Deductive Reasoning including Conditionals Properties of Polygons and Circles

More information

Assignment Guide: Chapter 10 Geometry (L3)

Assignment Guide: Chapter 10 Geometry (L3) Assignment Guide: Chapter 10 Geometry (L3) (123) 10.1 Areas of Parallelograms and Triangles Page 619-621 #9-15 odd, 18-21, 24-30, 33, 35, 37, 41-43 (124) 10.2 Areas of Trapezoids, Rhombuses, and Kites

More information

A. 180 B. 108 C. 360 D. 540

A. 180 B. 108 C. 360 D. 540 Part I - Multiple Choice - Circle your answer: REVIEW FOR FINAL EXAM - GEOMETRY 2 1. Find the area of the shaded sector. Q O 8 P A. 2 π B. 4 π C. 8 π D. 16 π 2. An octagon has sides. A. five B. six C.

More information

11.1 Understanding Area

11.1 Understanding Area /6/05. Understanding rea Counting squares is neither the easiest or the best way to find the area of a region. Let s investigate how to find the areas of rectangles and squares Objective: fter studying

More information

Honors Geometry Review Packet ) List all pairs of congruent angles.

Honors Geometry Review Packet ) List all pairs of congruent angles. Honors Geometry Review Packet 2015 Note: Exam will include problems from 11.5-11.8 that are not included on this packet PQR ~ CDE. 1) List all pairs of congruent angles. 2) Write the ratios of the corresponding

More information

Geometry Final Exam Study Guide

Geometry Final Exam Study Guide Geometry Final Exam Study Guide Short Answer 1. Find the geometric mean between each pair of numbers. 256 and 841 2. Find x. Determine whether ΔQRS is a right triangle for the given vertices. Explain.

More information

Chapter 11 Review. Period:

Chapter 11 Review. Period: Chapter 11 Review Name: Period: 1. Find the sum of the measures of the interior angles of a pentagon. 6. Find the area of an equilateral triangle with side 1.. Find the sum of the measures of the interior

More information

heptagon; not regular; hexagon; not regular; quadrilateral; convex concave regular; convex

heptagon; not regular; hexagon; not regular; quadrilateral; convex concave regular; convex 10 1 Naming Polygons A polygon is a plane figure formed by a finite number of segments. In a convex polygon, all of the diagonals lie in the interior. A regular polygon is a convex polygon that is both

More information

Pre-Algebra Notes Unit 10: Geometric Figures & Their Properties; Volume

Pre-Algebra Notes Unit 10: Geometric Figures & Their Properties; Volume Pre-Algebra Notes Unit 0: Geometric Figures & Their Properties; Volume Triangles, Quadrilaterals, and Polygons Syllabus Objectives: (4.6) The student will validate conclusions about geometric figures and

More information

Moore Catholic High School Math Department

Moore Catholic High School Math Department Moore Catholic High School Math Department Geometry Vocabulary The following is a list of terms and properties which are necessary for success in a Geometry class. You will be tested on these terms during

More information

The radius for a regular polygon is the same as the radius of the circumscribed circle.

The radius for a regular polygon is the same as the radius of the circumscribed circle. Perimeter and Area The perimeter and area of geometric shapes are basic properties that we need to know. The more complex a shape is, the more complex the process can be in finding its perimeter and area.

More information

Geometry Practice. 1. Angles located next to one another sharing a common side are called angles.

Geometry Practice. 1. Angles located next to one another sharing a common side are called angles. Geometry Practice Name 1. Angles located next to one another sharing a common side are called angles. 2. Planes that meet to form right angles are called planes. 3. Lines that cross are called lines. 4.

More information

Geometry SOL Review Packet QUARTER 3

Geometry SOL Review Packet QUARTER 3 Geometry SOL Review Packet QUARTER 3 Arc Length LT 10 Circle Properties Important Concepts to Know Sector Area It is a fraction of. It is a fraction of. Formula: Formula: Central Angle Inscribed Angle

More information

NAME DATE PERIOD. Angle and Line Relationships. Classify the pairs of angles shown. Then find the value of x in each figure

NAME DATE PERIOD. Angle and Line Relationships. Classify the pairs of angles shown. Then find the value of x in each figure 11-1 Skills Practice Angle and Line Relationships In the figure at the right, c d and p is a transversal. If m 5 = 110, find the measure of each angle. 1. 6 2. 8 3. 2 4. 4 c 1 2 5 6 d 3 4 7 8 p In the

More information

Honors Geometry Final Study Guide 2014

Honors Geometry Final Study Guide 2014 Honors Geometry Final Study Guide 2014 1. Find the sum of the measures of the angles of the figure. 2. What is the sum of the angle measures of a 37-gon? 3. Complete this statement: A polygon with all

More information

2nd Semester Exam Review

2nd Semester Exam Review Geometry 2nd Semester Exam Review Name: Date: Per: Trig & Special Right Triangles 1. At a certain time of the day, a 30 meter high building cast a shadow that is 31 meters long. What is the angle of elevation

More information

Angles. An angle is: the union of two rays having a common vertex.

Angles. An angle is: the union of two rays having a common vertex. Angles An angle is: the union of two rays having a common vertex. Angles can be measured in both degrees and radians. A circle of 360 in radian measure is equal to 2π radians. If you draw a circle with

More information

SOL Chapter Due Date

SOL Chapter Due Date Name: Block: Date: Geometry SOL Review SOL Chapter Due Date G.1 2.2-2.4 G.2 3.1-3.5 G.3 1.3, 4.8, 6.7, 9 G.4 N/A G.5 5.5 G.6 4.1-4.7 G.7 6.1-6.6 G.8 7.1-7.7 G.9 8.2-8.6 G.10 1.6, 8.1 G.11 10.1-10.6, 11.5,

More information

Geometry 10 and 11 Notes

Geometry 10 and 11 Notes Geometry 10 and 11 Notes Area and Volume Name Per Date 10.1 Area is the amount of space inside of a two dimensional object. When working with irregular shapes, we can find its area by breaking it up into

More information

Geometry: Semester 2 Practice Final Unofficial Worked Out Solutions by Earl Whitney

Geometry: Semester 2 Practice Final Unofficial Worked Out Solutions by Earl Whitney Geometry: Semester 2 Practice Final Unofficial Worked Out Solutions by Earl Whitney 1. Wrapping a string around a trash can measures the circumference of the trash can. Assuming the trash can is circular,

More information

Pre-Algebra, Unit 10: Measurement, Area, and Volume Notes

Pre-Algebra, Unit 10: Measurement, Area, and Volume Notes Pre-Algebra, Unit 0: Measurement, Area, and Volume Notes Triangles, Quadrilaterals, and Polygons Objective: (4.6) The student will classify polygons. Take this opportunity to review vocabulary and previous

More information

Area. Domain 4 Lesson 25. Getting the Idea

Area. Domain 4 Lesson 25. Getting the Idea Domain 4 Lesson 5 Area Common Core Standard: 7.G.6 Getting the Idea The area of a figure is the number of square units inside the figure. Below are some formulas that can be used to find the areas of common

More information

Area of Polygons And Circles

Area of Polygons And Circles Name: Date: Geometry 2011-2012 Area of Polygons And Circles Name: Teacher: Pd: Table of Contents DAY 1: SWBAT: Calculate the area and perimeter of Parallelograms and Triangles Pgs: 1-5 HW: Pgs: 6-7 DAY

More information

The scale factor between the blue diamond and the green diamond is, so the ratio of their areas is.

The scale factor between the blue diamond and the green diamond is, so the ratio of their areas is. For each pair of similar figures, find the area of the green figure. 1. The scale factor between the blue diamond and the green diamond is, so the ratio of their areas is. The area of the green diamond

More information

10 Perimeter and Area

10 Perimeter and Area CHAPTER 10 Perimeter and Area Chapter Outline 10.1 TRIANGLES AND PARALLELOGRAMS 10.2 TRAPEZOIDS, RHOMBI, AND KITES 10.3 AREAS OF SIMILAR POLYGONS 10.4 CIRCUMFERENCE AND ARC LENGTH 10.5 AREAS OF CIRCLES

More information

Indiana State Math Contest Geometry

Indiana State Math Contest Geometry Indiana State Math Contest 018 Geometry This test was prepared by faculty at Indiana University - Purdue University Columbus Do not open this test booklet until you have been advised to do so by the test

More information

Practice Test - Chapter 11. Find the area and perimeter of each figure. Round to the nearest tenth if necessary.

Practice Test - Chapter 11. Find the area and perimeter of each figure. Round to the nearest tenth if necessary. Find the area and perimeter of each figure. Round to the nearest tenth if necessary. 1. Use the Pythagorean Theorem to find the height h, of the parallelogram. 2. Use the Pythagorean Theorem to find the

More information

MR. JIMENEZ FINAL EXAM REVIEW GEOMETRY 2011

MR. JIMENEZ FINAL EXAM REVIEW GEOMETRY 2011 PAGE 1 1. The area of a circle is 25.5 in. 2. Find the circumference of the circle. Round your answers to the nearest tenth. 2. The circumference of a circle is 13.1 in. Find the area of the circle. Round

More information

Moore Catholic High School Math Department

Moore Catholic High School Math Department Moore Catholic High School Math Department Geometry Vocabulary The following is a list of terms and properties which are necessary for success in a Geometry class. You will be tested on these terms during

More information

Name Honors Geometry Final Exam Review

Name Honors Geometry Final Exam Review 2014-2015 Name Honors Geometry Final Eam Review Chapter 5 Use the picture at the right to answer the following questions. 1. AC= 2. m BFD = 3. m CAE = A 29 C B 71⁰ 19 D 16 F 65⁰ E 4. Find the equation

More information

Math 1 Plane Geometry Part 1

Math 1 Plane Geometry Part 1 Math 1 Plane Geometry Part 1 1 Intersecting lines: When two lines intersect, adjacent angles are supplementary (they make a line and add up to 180 degrees, and vertical angles (angles across from each

More information

Chapter 10 Practice Test

Chapter 10 Practice Test Chapter 10 Practice Test Multiple Choice Identify the choice that best completes the statement or answers the question. 1. Find the area. The figure is not drawn to scale. 7.6 cm 3.7 cm a. b. c. d. 2.

More information

Study Guide and Review

Study Guide and Review State whether each sentence is or false. If false, replace the underlined term to make a sentence. 1. The center of a trapezoid is the perpendicular distance between the bases. false; height false; height

More information

Chapter 11. Area of Polygons and Circles

Chapter 11. Area of Polygons and Circles Chapter 11 Area of Polygons and Circles 11.1 & 11.2 Area of Parallelograms, Triangles, Trapezoids, Rhombi, and Kites Use your formula chart to find the formula for the Areas of the following Polygons

More information

Area and Perimeter. Perimeter Class Work Find the perimeter of the following figures

Area and Perimeter. Perimeter Class Work Find the perimeter of the following figures Area and Perimeter Perimeter Find the perimeter of the following figures. 1. 2. 3. 4. The length of a rectangle is 7 cm and its width is 5 cm, what is the rectangles perimeter? 5. An equilateral triangle

More information

Practice For use with pages

Practice For use with pages 11.1 For use with pages 74 754 Find the area of the polygon. 1. 6 2. 11 3. 9 16 14 4. 5. 15 6. 7 12 19 13 1 The lengths of the hypotenuse and one leg of a right triangle are given. Find the perimeter and

More information

Study Guide and Intervention

Study Guide and Intervention 1- Study Guide and Intervention Congruent or Similar Solids If the corresponding angles and sides of two solids are congruent, then the solids are congruent. Also, the corresponding faces are congruent

More information

Geometry Unit 10 Note Sheets Date Name of Lesson. 1.6 Two-Dimensional Figures Areas of Circles and Sectors

Geometry Unit 10 Note Sheets Date Name of Lesson. 1.6 Two-Dimensional Figures Areas of Circles and Sectors Date Name of Lesson 1.6 Two-Dimensional Figures 11.3 Areas of Circles and Sectors Quiz 11.1 Areas of Parallelograms and Triangles 11.2 Areas of Trapezoids, Rhombi and Kites 11.4 Areas of Regular Polygons

More information

Any questions about the material so far? About the exercises?

Any questions about the material so far? About the exercises? Any questions about the material so far? About the exercises? Here is a question for you. In the diagram on the board, DE is parallel to AC, DB = 4, AB = 9 and BE = 8. What is the length EC? Polygons Definitions:

More information

3. The diagonals of a rectangle are 18 cm long and intersect at a 60 angle. Find the area of the rectangle.

3. The diagonals of a rectangle are 18 cm long and intersect at a 60 angle. Find the area of the rectangle. Geometry Chapter 11 Remaining Problems from the Textbook 1. Find the area of a square with diagonals of length d. 2. The lengths of the sides of three squares are s, s + 1, and s + 2. If their total area

More information

Calculate the area of each figure. Each square on the grid represents a square that is one meter long and one meter wide.

Calculate the area of each figure. Each square on the grid represents a square that is one meter long and one meter wide. CH 3 Test Review Boundary Lines: Area of Parallelograms and Triangles Calculate the area of each figure Each square on the grid represents a square that is one meter long and one meter wide 1 You are making

More information

Geometry. Geometry is the study of shapes and sizes. The next few pages will review some basic geometry facts. Enjoy the short lesson on geometry.

Geometry. Geometry is the study of shapes and sizes. The next few pages will review some basic geometry facts. Enjoy the short lesson on geometry. Geometry Introduction: We live in a world of shapes and figures. Objects around us have length, width and height. They also occupy space. On the job, many times people make decision about what they know

More information

2. A circle is inscribed in a square of diagonal length 12 inches. What is the area of the circle?

2. A circle is inscribed in a square of diagonal length 12 inches. What is the area of the circle? March 24, 2011 1. When a square is cut into two congruent rectangles, each has a perimeter of P feet. When the square is cut into three congruent rectangles, each has a perimeter of P 6 feet. Determine

More information

Geo 9 Ch 11 1 AREAS OF POLYGONS SQUARE EQUILATERAL TRIANGLE

Geo 9 Ch 11 1 AREAS OF POLYGONS SQUARE EQUILATERAL TRIANGLE Geo 9 h 11 1 RES OF POLYGONS SQURE RETNGLE PRLLELOGRM TRINGLE EQUILTERL TRINGLE RHOMUS TRPEZOI REGULR POLY IRLE R LENGTH SETOR SLIVER RTIO OF RES SME SE SME HEIGHT Geo 9 h 11 2 11.1 reas of Polygons Postulate

More information

MATH-G Geometry SOL Test 2015 Exam not valid for Paper Pencil Test Sessions

MATH-G Geometry SOL Test 2015 Exam not valid for Paper Pencil Test Sessions MATH-G Geometry SOL Test 2015 Exam not valid for Paper Pencil Test Sessions [Exam ID:2LKRLG 1 Which Venn diagram accurately represents the information in the following statement? If a triangle is equilateral,

More information

NAME DATE PERIOD. Name each polygon by its number of sides and then classify it as convex or concave and regular or irregular.

NAME DATE PERIOD. Name each polygon by its number of sides and then classify it as convex or concave and regular or irregular. Skills Practice Name each polygon by its number of sides and then classify it as convex or concave and regular or irregular. Lesson Find the perimeter or circumference of each figure. Round to the nearest

More information

Geometry Final Exam Review Packet #1

Geometry Final Exam Review Packet #1 Name: Chapter 3 Geometry Final Exam Review Packet #1 1. Solve for the missing lengths in the sets of similar figures below. a. ABCD JKLM b. ΔNOP XYZ Chapter 4 2. Find the area of the shaded region. Chapter

More information

Free Response. Test A. 1. What is the estimated area of the figure?

Free Response. Test A. 1. What is the estimated area of the figure? Test A 1. What is the estimated area of the 6. An 8.5 in. by 11 in. sheet of paper is enlarged to make a poster by doubling its length and width. What is the new perimeter? 7. How does the area of a square

More information

MENSURATION-I (Area & Perimeter) In this chapter, we shall be dealing with plane figures of various shapes finding their sides, perimeters and

MENSURATION-I (Area & Perimeter) In this chapter, we shall be dealing with plane figures of various shapes finding their sides, perimeters and INTRODUCTION In this chapter, we shall be dealing with plane figures of various shapes finding their sides, perimeters and areas. AREA The area of any figure is the amount of surface enclosed within its

More information

Algebra Area of Parallelograms

Algebra Area of Parallelograms Lesson 10.1 Reteach Algebra Area of Parallelograms The formula for the area of a parallelogram is the product of the base and height. The formula for the area of a square is the square of one of its sides.

More information

Geometry Summative Review 2008

Geometry Summative Review 2008 Geometry Summative Review 2008 Page 1 Name: ID: Class: Teacher: Date: Period: This printed test is for review purposes only. 1. ( 1.67% ) Which equation describes a circle centered at (-2,3) and with radius

More information

SPRINGBOARD UNIT 5 GEOMETRY

SPRINGBOARD UNIT 5 GEOMETRY SPRINGBOARD UNIT 5 GEOMETRY 5.1 Area and Perimeter Perimeter the distance around an object. To find perimeter, add all sides. Area the amount of space inside a 2 dimensional object. Measurements for area

More information

Geometry EOC Review 2015 Geometry EOC: Power Standards by each question MULTIPLE CHOICE: #1. I can solve problems involving points, lines, planes and

Geometry EOC Review 2015 Geometry EOC: Power Standards by each question MULTIPLE CHOICE: #1. I can solve problems involving points, lines, planes and Geometry EOC: Power Standards by each question MULTIPLE CHOICE: #1. I can solve problems involving points, lines, planes and segments. #2. I can identify and solve problems involving special angle pairs.

More information

Unit Lesson Plan: Measuring Length and Area: Area of shapes

Unit Lesson Plan: Measuring Length and Area: Area of shapes Unit Lesson Plan: Measuring Length and Area: Area of shapes Day 1: Area of Square, Rectangles, and Parallelograms Day 2: Area of Triangles Trapezoids, Rhombuses, and Kites Day 3: Quiz over Area of those

More information

Circular Reasoning. Solving Area and Circumference. Problems. WARM UP Determine the area of each circle. Use 3.14 for π.

Circular Reasoning. Solving Area and Circumference. Problems. WARM UP Determine the area of each circle. Use 3.14 for π. Circular Reasoning Solving Area and Circumference 3 Problems WARM UP Determine the area of each circle. Use 3.14 for π. 1. 4 in. 2. 3.8 cm LEARNING GOALS Use the area and circumference formulas for a circle

More information

HS Pre-Algebra Notes Unit 10: Measurement, Area, and Volume

HS Pre-Algebra Notes Unit 10: Measurement, Area, and Volume HS Pre-Algebra Notes Unit 0: Measurement, Area, and Volume Triangles, Quadrilaterals, and Polygons Syllabus Objectives: (5.6) The student will classify polygons. (5.5) The student will validate conclusions

More information

Ch. 11 Worksheet #3 Honors Geometry

Ch. 11 Worksheet #3 Honors Geometry Ch. 11 Worksheet #3 1) Find the area of the trapezoid. 2) Find the area (BC). 8 30 C 12 2 B 4 3) Given: rea (BCE) = 78 sq. units, Find the length of C E 135 C 5 2 5 2 B 4) Given: Parallelogram BC; M, N

More information

Geometry Course Title: Geometry

Geometry Course Title: Geometry Course Title: Geometry Geometry--2013 Duration: one year Frequency: one class period daily Year: 2013-14 Text: Geometry(Prentice Hall Mathematics) Other materials: Teacher prepared worksheets Areas to

More information

Geometry Final Exam Review Packet

Geometry Final Exam Review Packet Name: Chapter 3 Geometry Final Exam Review Packet 1. Solve for the missing lengths in the sets of similar figures below. a. ABCD JKLM b. ΔNOP XYZ Chapter 4 2. Find the area of the shaded region. Chapter

More information

Lines Plane A flat surface that has no thickness and extends forever.

Lines Plane A flat surface that has no thickness and extends forever. Lines Plane A flat surface that has no thickness and extends forever. Point an exact location Line a straight path that has no thickness and extends forever in opposite directions Ray Part of a line that

More information

Appendix E. Plane Geometry

Appendix E. Plane Geometry Appendix E Plane Geometry A. Circle A circle is defined as a closed plane curve every point of which is equidistant from a fixed point within the curve. Figure E-1. Circle components. 1. Pi In mathematics,

More information

TEST REVIEW: UNIT 8 Surface Area 2018

TEST REVIEW: UNIT 8 Surface Area 2018 Class: Date: TEST REVIEW: UNIT 8 Surface Area 2018 Find the area. The figure is not drawn to scale. 1. 5. Find the area. All lengths are in centimeters. Round answer to the nearest tenth. 2. 6. A can of

More information

10.6 Area and Perimeter of Regular Polygons

10.6 Area and Perimeter of Regular Polygons 10.6. Area and Perimeter of Regular Polygons www.ck12.org 10.6 Area and Perimeter of Regular Polygons Learning Objectives Calculate the area and perimeter of a regular polygon. Review Queue 1. What is

More information

10-1 Circles & Circumference

10-1 Circles & Circumference 10-1 Circles & Circumference Radius- Circle- Formula- Chord- Diameter- Circumference- Formula- Formula- Two circles are congruent if and only if they have congruent radii All circles are similar Concentric

More information

Geometry. Geometry is one of the most important topics of Quantitative Aptitude section.

Geometry. Geometry is one of the most important topics of Quantitative Aptitude section. Geometry Geometry is one of the most important topics of Quantitative Aptitude section. Lines and Angles Sum of the angles in a straight line is 180 Vertically opposite angles are always equal. If any

More information

Sample: Do Not Reproduce GEO1 STUDENT PAGES. GEOMETRY AND MEASUREMENT Student Pages for Packet 1: Length and Area.

Sample: Do Not Reproduce GEO1 STUDENT PAGES. GEOMETRY AND MEASUREMENT Student Pages for Packet 1: Length and Area. Name Period Date GEOMETRY AND MEASUREMENT Student Pages for Packet 1: GEO1.1 Congruence Plot simple figures on coordinate graphs, and determine their lengths and areas. Make conjectures about perimeters

More information

9 Find the area of the figure. Round to the. 11 Find the area of the figure. Round to the

9 Find the area of the figure. Round to the. 11 Find the area of the figure. Round to the Name: Period: Date: Show all work for full credit. Provide exact answers and decimal (rounded to nearest tenth, unless instructed differently). Ch 11 Retake Test Review 1 Find the area of a regular octagon

More information

Math 1 Plane Geometry part 3 Unit Updated July 28, 2016

Math 1 Plane Geometry part 3 Unit Updated July 28, 2016 Special triangles When using the Pythagorean theorem we often get answers with square roots or long decimals. There are a few special right triangles that give integer answers. We've already talked about

More information

3. The sides of a rectangle are in ratio fo 3:5 and the rectangle s area is 135m2. Find the dimensions of the rectangle.

3. The sides of a rectangle are in ratio fo 3:5 and the rectangle s area is 135m2. Find the dimensions of the rectangle. Geometry B Honors Chapter Practice Test 1. Find the area of a square whose diagonal is. 7. Find the area of the triangle. 60 o 12 2. Each rectangle garden below has an area of 0. 8. Find the area of the

More information

11.4 CIRCUMFERENCE AND ARC LENGTH 11.5 AREA OF A CIRCLE & SECTORS

11.4 CIRCUMFERENCE AND ARC LENGTH 11.5 AREA OF A CIRCLE & SECTORS 11.4 CIRCUMFERENCE AND ARC LENGTH 11.5 AREA OF A CIRCLE & SECTORS Section 4.1, Figure 4.2, Standard Position of an Angle, pg. 248 Measuring Angles The measure of an angle is determined by the amount of

More information

12-3 Area of Composite Figures

12-3 Area of Composite Figures Find the area of each figure. Round to the nearest tenth, if necessary. 1. 5. The Jamesons hired a landscaper to brick their walkway. One case of bricks costs $25 and covers 6 square feet. 2. 38.4 cm 2

More information

MATH II SPRING SEMESTER FINALS REVIEW PACKET

MATH II SPRING SEMESTER FINALS REVIEW PACKET Name Date Class MATH II SPRING SEMESTER FINALS REVIEW PACKET For 1 2, use the graph. 6. State the converse of the statement. Then determine whether the converse is true. Explain. If two angles are vertical

More information

3. Write a conditional statement ( If.., then ) from the sentence: A whole number is an integer. If, then.

3. Write a conditional statement ( If.., then ) from the sentence: A whole number is an integer. If, then. Geometry: Spring Semester Final Exam Review Worksheet Name Hour Score /30 1. Refer to the diagram at the right. a. Name 2 lines in the diagram. b. Name the intersection of WY and XZ. b. Name the intersection

More information

Answer Section. Honors Geometry Final Study Guide 2013 Solutions and Section References 1. ANS: 900

Answer Section. Honors Geometry Final Study Guide 2013 Solutions and Section References 1. ANS: 900 Honors Geometry Final Study Guide 2013 Solutions and Section References Answer Section 1. ANS: 900 2. ANS: 6300 3. ANS: B 4. ANS: x = 111, y = 64 5. ANS: 45 6. ANS: 110 7. ANS: REF: 6-2 Properties of Parallelograms

More information

Properties of a Circle Diagram Source:

Properties of a Circle Diagram Source: Properties of a Circle Diagram Source: http://www.ricksmath.com/circles.html Definitions: Circumference (c): The perimeter of a circle is called its circumference Diameter (d): Any straight line drawn

More information

Math 2 Plane Geometry part 1 Unit Updated January 13, 2017

Math 2 Plane Geometry part 1 Unit Updated January 13, 2017 Complementary angles (two angles whose sum is 90 ) and supplementary angles (two angles whose sum is 180. A straight line = 180. In the figure below and to the left, angle EFH and angle HFG form a straight

More information

NAME DATE PERIOD. (2x 20) (3x 10) Find the measures of an interior angle and an exterior angle for each regular polygon.

NAME DATE PERIOD. (2x 20) (3x 10) Find the measures of an interior angle and an exterior angle for each regular polygon. Copright Glencoe/McGraw-Hill, a division of he McGraw-Hill Companies, Inc. NAME AE PERIO 6-1 kills Practice Angles of Polgons Find the sum of the measures of the interior angles of each conve polgon. 1.

More information

Areas of Rectangles and Parallelograms

Areas of Rectangles and Parallelograms CONDENSED LESSON 8.1 Areas of Rectangles and Parallelograms In this lesson, you Review the formula for the area of a rectangle Use the area formula for rectangles to find areas of other shapes Discover

More information

10.2 Trapezoids, Rhombi, and Kites

10.2 Trapezoids, Rhombi, and Kites 10.2 Trapezoids, Rhombi, and Kites Learning Objectives Derive and use the area formulas for trapezoids, rhombi, and kites. Review Queue Find the area the shaded regions in the figures below. 2. ABCD is

More information

Geometry Level 2 Final Exam Review Due, with work, the day of your exam!!!!!!!!

Geometry Level 2 Final Exam Review Due, with work, the day of your exam!!!!!!!! Geometry Level 2 Final Exam Review 2015-2016 Due, with work, the day of your exam!!!!!!!! In addition to reviewing all quizzes, tests, homework, and notes assigned throughout the second semester, students

More information

The Next Step. Mathematics Applications for Adults. Book Measurement

The Next Step. Mathematics Applications for Adults. Book Measurement The Next Step Mathematics Applications for Adults Book 14019 Measurement OUTLINE Mathematics - Book 14019 Measurement The Metric System use correct metric units to measure length, volume, capacity, mass,

More information

Polygons. 5 sides 5 angles. pentagon. no no R89. Name

Polygons. 5 sides 5 angles. pentagon. no no R89. Name Lesson 11.1 Polygons A polygon is a closed plane figure formed by three or more line segments that meet at points called vertices. You can classify a polygon by the number of sides and the number of angles

More information

11.6 Start Thinking Warm Up Cumulative Review Warm Up

11.6 Start Thinking Warm Up Cumulative Review Warm Up 11.6 Start Thinking The diagrams show a cube and a pyramid. Each has a square base with an area of 25 square inches and a height of 5 inches. How do the volumes of the two figures compare? Eplain your

More information

Lesson Polygons

Lesson Polygons Lesson 4.1 - Polygons Obj.: classify polygons by their sides. classify quadrilaterals by their attributes. find the sum of the angle measures in a polygon. Decagon - A polygon with ten sides. Dodecagon

More information