Solve the problem. 1) Given that AB DC & AD BC, find the measure of angle x. 2) Find the supplement of 38. 3) Find the complement of 45.

Size: px
Start display at page:

Download "Solve the problem. 1) Given that AB DC & AD BC, find the measure of angle x. 2) Find the supplement of 38. 3) Find the complement of 45."

Transcription

1 MAT 105 TEST 3 REVIEW (CHAP 2 & 4) NAME Solve the problem. 1) Given that AB DC & AD BC, find the measure of angle x ) Find the supplement of 38. 3) Find the complement of 45. 4) Find the measure of angle x. x y 102 5) If Main Street is parallel to First Street, find the value of x. 396 m 296 m 235 m 1

2 6) A part used in manufacturing is shown in the figure. If the upper and lower sections are parallel, what is the angle between the diagonal and the upper section? 37 7) Trusses are often used in the construction of buildings. If DAB = 42 what is the measure of BDF in the truss shown below. 8) Two angles of a triangle are 36 and 96. Find the third angle. 9) One of the base angles of an isosceles triangle is 23. Find the measures of the other two angles. 10) Find A. 19 in in 2

3 11) Determine the measure of angle x. 47 x Find the perimeter. 12) 19 ft 18 ft 27 ft Find the area. 13) 24 yd 21 yd 45 yd 14) a = 31 ft, b = 43 ft, c = 37 ft 3

4 Find the missing length in the right triangle. 15) 3.0 in. 7.0 in. 16) 9.0 mi 20 mi 17) The hypotenuse of a right triangle is 78.4 in. and one leg is 29.3 in. Find the length of the other leg. Solve the problem. Round your result to an appropriate number of significant digits. 18) In order to measure the distance across a pond (from A to D), Maria made the measurements shown in the drawing. What is the distance? A C 54 yd E yd yd 48 yd D B 19) A church steeple casts a shadow 102 ft long, and at the same time a 8.00-ft post cast a shadow 5.00 ft long. How high is the steeple? 4

5 20) A line from the top of a cliff to the ground passes just over the top of a pole 5.0 ft high and meets the ground at a point 9.0 ft from the base of the pole. If the point is 74 ft from the base of the cliff, how high is the cliff? 21) Joe has a pennant for the University of Michigan. It is in the shape of an isosceles triangle. If each equal side is 71.0 cm and the third side is 26.0 cm, what is the area of the pennant? 22) A rectangular classroom is 11.0 ft wide, 19.0 ft long, and 8.50 ft high. What is the length of the longest diagonal from one corner to another corner of the room? Solve the problem. 23) Find the perimeter of a rhombus with a side of 1.59 mm. 24) Find the perimeter of a rectangle with length of cm and width of cm. 25) Find the perimeter of an isosceles trapezoid with short base of 11.3 cm, long base of 25.5 cm, and height of 40.9 cm. 26) Find the perimeter of a parallelogram with bases of 69.3 in. and 33.4 in. and height of 15.6 in. 5

6 27) Find the area of a square with side of 6.9 cm. 28) Find the area of a parallelogram with a base of 78 cm and a height of 36 cm. 29) Find the area of a trapezoid with short base of 76 yd, long base of 93 yd, and height of 14 yd. 30) A one-story building is 248 ft by 255 ft. If a square patio with sides 21 ft occupies the center of the building, how much area remains for offices? 31) A field is in the shape of a parallelogram with sides of length ft and ft. The altitude to the longer side is ft. Find the length of fencing which must be purchased to enclose the entire field. 32) A newly built house has a room in it such that the length is 3.3 ft more than the width. The perimeter is 39.4 ft. What are the dimensions? 33) A home has a living room that is 15 ft wide and 18 ft long. The height is 9 ft. Bob needs to paint the room. He has to paint the walls and the ceiling. (He will not paint the floor.) There are two 3.0 ft by 5.0 ft windows and a 4.0 ft by 7.0 ft opening into the room that will not be painted. A gallon of paint covers 320 ft2. How many gallons of paint (to the nearest tenth) are needed? (All data are accurate to two significant figures.) 6

7 Find the circumference of the circle with the given radius or diameter. 34) r = in. 35) d = 4.55 cm Find the area of the circle. 36) A circle with diameter 11.2 ft Determine the indicated arc or angle. 37) FindBC ) Find ADB ) Find ABC

8 40) Find AC ) Find CAB ) Find ACB. 64 Solve the problem. 43) A small circular pool is enclosed in a square. Find the area inside the square but outside the circle. 3.6 m 44) Find the shaded area in the figure cm 8

9 45) Semicircles are placed on the sides of an equilateral triangle with sides 6.04 ft as shown. Find the shaded area. 46) A bicycle tire has a radius of 13.8 in. How far will it travel in 189 revolutions? 47) The circumference of a tree is found to be 118 in. What is its radius? 48) A washer has an inner radius of 0.23 in. and an outer radius of 0.48 in. Find the area of the washer. Find the volume. 49) A cube measuring 21 m on each edge 50) Radius = 4.5 in., height = 11 in. 9

10 Find the volume. 51) A sphere with diameter 7.5 cm 52) A cone with height 3.9 cm and diameter 5.9 cm 53) A triangular pyramid with base area 18.6 ft2 and height 3.0 ft 54) A rectangular pyramid with base area 19.4 m2 and height 3.0 m Solve the problem. 55) Find the total surface area of a box 22 cm by 21.9 cm by 14 cm. 56) Find the total surface area of a cube with an edge of 18 ft. 57) Find the total surface area of a right circular cylinder with d = 9.2 m, h = 5.3 m. 58) Find the total surface area of a right circular cone with diameter 16.6 ft and height 13.9 ft. 10

11 59) Find the lateral surface area of a regular pyramid with a perimeter of 3.81 ft and a slant height of 2.47 ft. 60) A cylindrical drain pipe is 7.0 inches across the top and about 11 inches high. How many cubic inches of water could it hold? 61) A dog toy is constructed in the shape of a cylinder with a length of 6.8 in. The cylinder has a hemishpere at each end. The diameter is 1.6 in. Find the total volume. 11

12 Given that is an acute angle, find the five remaining trig function values of. DO NOT USE INVERSE FUNCTIONS. 62) sin = 3 4 (Exact values in simplest radical form) 63) cos = 9 10 (Exact values in simplest radical form) 64) tan = (To 4 sig digits) Use a calculator to find the function value. Give answer to three sig digits. 65) sin ) cos ) cot

13 Determine in decimal degrees, given Round results to an appropriate number of significant digits. 68) sin = ) cos = 0.29 Determine in decimal degrees, given Round results to an appropriate number of significant digits. 70) tan = ) csc = ) sec = ) cot = Find the requested function value of to 4 sig digits. 74) If sin = , find sec. 75) If cos = , find tan. 76) Find cot, if tan =

14 Solve the problem. 77) The equation P = IV cos gives the power (in watts) absorbed in an ac circuit. Find when P = 110 W, V = 120 V, and I = 1.4 A. Round results to nearest degree. Find the requested part of the triangle. 78) Find the measure of the angle A to the nearest tenth of a degree ) Find the measure of the angle A to the nearest tenth of a degree ) Find the measure of the side labeled x to three sig digits x

15 Find the indicated part of the right triangle. 81) One leg is 20.7, and the hypotenuse is Find the smaller acute angle. Round your answer to the nearest tenth of a degree. 82) One leg is 7.80, and the angle opposite this leg is Find the other leg. Round your answer to three sig digits. 83) The legs are 5.1 and 9.9. Find the larger acute angle. Round your answer to the nearest degree. Determine the value of x or as requested. 84) Determine the value of to the nearest degree. 27 ft 54 ft 15

16 Solve the right triangle. Round results to an appropriate number of significant digits. 85) a = 1.3 cm, b = 1.1 cm 86) a = 3.90 m, B = ) B = 20.6, c = 3.41 mm 16

17 Solve the problem. 88) From a balloon 1090 ft high, the angle of depression to the ranger headquarters is How far is the headquarters from a point on the ground directly below the balloon (to 3 sig digits)? 89) From a boat on the lake, the angle of elevation to the top of a cliff is If the base of the cliff is 2270 ft from the boat, how high is the cliff? (to 3 sig digits) 90) When sitting atop a tree and looking down at his pal Joey, the angle of depression of Mack's line of sight is If Joey is known to be standing 10.0 ft from the base of the tree, how tall is the tree (to 3 sig digits)? 91) A plane is found by radar to be flying 5.60 km above the ground. The angle of elevation from the radar to the plane is Ten seconds later, the plane is directly over the station. Find the speed of the plane, to 3 sig digits, assuming that it is flying level. 17

17-18 ACP Geometry Final Exam REVIEW

17-18 ACP Geometry Final Exam REVIEW 17-18 ACP Geometry Final Exam REVIEW Chapter 7 Similarity 1. Given ABC DEF. Find the value of x. Justify your answer. Are the following triangles similar? If so, justify your answer, and write a similarity

More information

Geometry Second Semester Final Exam Review

Geometry Second Semester Final Exam Review Name: Class: Date: ID: A Geometry Second Semester Final Exam Review 1. Find the length of the leg of this right triangle. Give an approximation to 3 decimal places. 2. Find the length of the leg of this

More information

Name: DUE: HOUR: 2015/2016 Geometry Final Exam Review

Name: DUE: HOUR: 2015/2016 Geometry Final Exam Review Name: DUE: HOUR: 2015/2016 Geometry Final Exam Review 1. Find x. 2. Find y. x = 3. A right triangle is shown below. Find the lengths x, y, and z. y = 4. Find x. x = y = z = x = 5. Find x. x = 6. ABC ~

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

Geometry SIA #3. Name: Class: Date: Short Answer. 1. Find the perimeter of parallelogram ABCD with vertices A( 2, 2), B(4, 2), C( 6, 1), and D(0, 1).

Geometry SIA #3. Name: Class: Date: Short Answer. 1. Find the perimeter of parallelogram ABCD with vertices A( 2, 2), B(4, 2), C( 6, 1), and D(0, 1). Name: Class: Date: ID: A Geometry SIA #3 Short Answer 1. Find the perimeter of parallelogram ABCD with vertices A( 2, 2), B(4, 2), C( 6, 1), and D(0, 1). 2. If the perimeter of a square is 72 inches, what

More information

17-18 CP Geometry Final Exam REVIEW

17-18 CP Geometry Final Exam REVIEW 1 17-18 CP Geometry Final Exam REVIEW Identify the scale factor of each dilation. 1. 2. Dilate the following given each scale factor. Be sure to label the images properly. 1 3. Scale factor of 4 4. Scale

More information

Practice A Perimeter and Area of Rectangles and Parallelograms

Practice A Perimeter and Area of Rectangles and Parallelograms 8-1 Practice A Perimeter and Area of Rectangles and Parallelograms Find the perimeter of each figure. 1. 5 ft 2. 3. 13 cm 4 ft 6 cm 3x in. 10x in. 18 ft 38 cm 26x in. Graph and find the area of each figure

More information

Name: Period: 2018 Geometry Spring Final Exam Review

Name: Period: 2018 Geometry Spring Final Exam Review 2018 Geometry Spring Final Exam Review 1. Find the number of lunch combinations that can be created if you order a soup, sandwich, drink and dessert. There are 4 soup choices, 5 sandwich choices, 3 drink

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

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

2 nd Semester Final Exam Review

2 nd Semester Final Exam Review 2 nd Semester Final xam Review I. Vocabulary hapter 7 cross products proportion scale factor dilation ratio similar extremes scale similar polygons indirect measurements scale drawing similarity ratio

More information

6. If QRSTU is a regular pentagon, what is the measure of T? 1. If STUV is a parallelogram, what are the coordinates of point U?

6. If QRSTU is a regular pentagon, what is the measure of T? 1. If STUV is a parallelogram, what are the coordinates of point U? 1. If UV is a parallelogram, what are the coordinates of point U?. If RU is a regular pentagon, what is the measure of? (0, y) U(?,?) (, 0) V( + z, 0) 7. hree siblings are to share an inheritance of $1,0

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

Geometry H Semester 2 Practice Exam

Geometry H Semester 2 Practice Exam 1. tire has a radius of 15 inches. What is the approximate circumference, in inches, of the tire?. 47 in.. 94 in.. 188 in. D. 707 in. 2. In the figure below, adjacent sides of the polygon are perpendicular.

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

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

2. Determine the indicated angle. a) b) c) d) e) f)

2. Determine the indicated angle. a) b) c) d) e) f) U4L1 Review of Necessary Skills 1. Determine the length of x.. Determine the indicated angle. a) b) c) d) e) f) 3. From the top of a cliff 300m high, the angle of depression of a boat is o. Calculate the

More information

G.8 Right Triangles STUDY GUIDE

G.8 Right Triangles STUDY GUIDE G.8 Right Triangles STUDY GUIDE Name Date Block Chapter 7 Right Triangles Review and Study Guide Things to Know (use your notes, homework, quizzes, textbook as well as flashcards at quizlet.com (http://quizlet.com/4216735/geometry-chapter-7-right-triangles-flashcardsflash-cards/)).

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

Pre-AP Geometry Spring Semester Exam Review 2015

Pre-AP Geometry Spring Semester Exam Review 2015 hapter 8 1. Find.. 25.4. 11.57. 3 D. 28 3. Find.. 3.73. 4. 2 D. 8.77 5. Find, y, k, and m. = k= Pre-P Geometry Spring Semester Eam Review 2015 40 18 25 y= m= 2. Find.. 5 2.. 5 D. 2 4. Find.. 3 2. 2. D.

More information

4. Given Quadrilateral HIJG ~ Quadrilateral MNOL, find x and y. x =

4. Given Quadrilateral HIJG ~ Quadrilateral MNOL, find x and y. x = Name: DUE: HOUR: 2016 2017 Geometry Final Exam Review 1. Find x. Round to the nearest hundredth. x = 2. Find x. x = 3. Given STU ~ PQR, find x. x = 4. Given Quadrilateral HIJG ~ Quadrilateral MNOL, find

More information

LATE AND ABSENT HOMEWORK IS ACCEPTED UP TO THE TIME OF THE CHAPTER TEST ON

LATE AND ABSENT HOMEWORK IS ACCEPTED UP TO THE TIME OF THE CHAPTER TEST ON Trig/Math Anal Name No LATE AND ABSENT HOMEWORK IS ACCEPTED UP TO THE TIME OF THE CHAPTER TEST ON HW NO. SECTIONS ASSIGNMENT DUE TT 1 1 Practice Set D TT 1 6 TT 1 7 TT TT 1 8 & Application Problems 1 9

More information

Practice Test Unit 8. Note: this page will not be available to you for the test. Memorize it!

Practice Test Unit 8. Note: this page will not be available to you for the test. Memorize it! Geometry Practice Test Unit 8 Name Period: Note: this page will not be available to you for the test. Memorize it! Trigonometric Functions (p. 53 of the Geometry Handbook, version 2.1) SOH CAH TOA sin

More information

Be sure to label all answers and leave answers in exact simplified form.

Be sure to label all answers and leave answers in exact simplified form. Pythagorean Theorem word problems Solve each of the following. Please draw a picture and use the Pythagorean Theorem to solve. Be sure to label all answers and leave answers in exact simplified form. 1.

More information

GEOMETRY REVIEW PROBLEMS, Spring 2018

GEOMETRY REVIEW PROBLEMS, Spring 2018 GEOMETRY REVIEW PROBLEMS, Spring 2018 Solve problems, describe problems algebraically, and simplify numerical expressions. 1. R(-3, -2), M(-1, -8) 2. R(11, -5), M(4, -4) 3. A(5, -4), B(-45, 20) 4. A(-10,

More information

S P. Geometry Final Exam Review. Name R S P Q P S. Chapter 7 1. If you reflect the point (2, -6) in the x-axis, the coordinates of the image would be:

S P. Geometry Final Exam Review. Name R S P Q P S. Chapter 7 1. If you reflect the point (2, -6) in the x-axis, the coordinates of the image would be: Geometry Final Exam Review Chapter 7 1. If you reflect the point (2, -6) in the x-axis, the coordinates of the image would be: Name 6. Use the graph below to complete the sentence. 2. If you reflect the

More information

Intuitive Geometry Semester 2 Practice Exam

Intuitive Geometry Semester 2 Practice Exam 1. tire has a radius of 15 inches. What is the approximate circumference, in inches, of the tire?. 707 in.. 188 in.. 94 in. D. 47 in. 2. In the figure below, adjacent sides of the polygon are perpendicular..

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

Geometry Spring Semester Review

Geometry Spring Semester Review hapter 5 Geometry Spring Semester Review 1. In PM,. m P > m. m P > m M. m > m P. m M > m P 7 M 2. Find the shortest side of the figure QU. Q Q 80 4. QU. U. 50 82 U 3. In EFG, m E = 5 + 2, m F = -, and

More information

Name Honors Geometry Final Exam Review. 1. The following figure is a parallelogram. Find the values of x and y.

Name Honors Geometry Final Exam Review. 1. The following figure is a parallelogram. Find the values of x and y. 2013-2014 Name Honors Geometr Final Eam Review Chapter 5 Questions 1. The following figure is a parallelogram. Find the values of and. (+)⁰ 130⁰ (-)⁰ 85⁰ 2. Find the value of in the figure below. D is

More information

Chapter 12 Review Period:

Chapter 12 Review Period: Chapter 12 Review Name: Period: 1. Find the number of vertices, faces, and edges for the figure. 9. A polyhedron has 6 faces and 7 vertices. How many edges does it have? Explain your answer. 10. Find the

More information

Equations and Measurements EOC Assessment 35%

Equations and Measurements EOC Assessment 35% MGSE9-12.G.SRT.6 1. Determine the tangent of A. 3. What is x, the length of PQ in ΔPQR A. B. A. 2 feet B. 4 feet C. 4 feet D. 8 feet 4. What is x, the length of BC in ΔABC C. D. 2. For this right triangle

More information

Geometry PreAP Spring Final Exam Review 2017

Geometry PreAP Spring Final Exam Review 2017 Name Period Date Geometry PreAP Spring Final Exam Review 2017 Topic 1: Similar Figures 1) What does it mean for two polygons to be similar? 2) Use the definition from #1 to determine whether or not the

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

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

~ QRS, find the perimeter P and area A of QRS. Review Chapter 7: Similarity

~ QRS, find the perimeter P and area A of QRS. Review Chapter 7: Similarity Review Chapter 7: Similarity 1. Find the slope of the line through the points (-6, 4) and (6, -).. x 4 0 Solve the proportion: 5 x 4. The ratio of the side lengths of a triangle is 5 : 7 :, and its perimeter

More information

Math Mealy Mountain Collegiate. Sample Midterm Exam. Name:

Math Mealy Mountain Collegiate. Sample Midterm Exam. Name: Math 2202 Mealy Mountain Collegiate Sample Midterm Exam Name: Formulas Square Rectangle A = s 2 A = l x w P 2l 2 w Triangle C 2 r A b h 2 Circle A r 2 C d or Cube Rectangle Prism SA = 6s 2 SA =2(l x w)+2(lxh)+2(wxh)

More information

Geometry Semester 2 Practice Exam

Geometry Semester 2 Practice Exam 1. tire has a radius of 15 inches. What is the approximate circumference, in inches, of the tire?. 47 in.. 94 in.. 188 in. D. 707 in. 2. In the figure below, adjacent sides of the polygon are perpendicular.

More information

Course 2 Unit 4 Practice

Course 2 Unit 4 Practice Course 2 Unit 4 Practice Lesson 13-1 1. Model with mathematics. Two angles are supplementary. One measures (3x)8 and the other measures 518. a. Draw a pair of adjacent, supplementary angles and label them

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

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

Geometry H Semester 2 Practice Exam

Geometry H Semester 2 Practice Exam 1. tire has a radius of 15 inches. What is the approximate circumference, in inches, of the tire?. 47 in.. 94 in.. 188 in. D. 707 in. 2. In the figure below, adjacent sides of the polygon are perpendicular.

More information

Unit 1: Area Find the value of the variable(s). If your answer is not an integer, leave it in simplest radical form.

Unit 1: Area Find the value of the variable(s). If your answer is not an integer, leave it in simplest radical form. Name Per Honors Geometry / Algebra II B Midterm Review Packet 018-19 This review packet is a general set of skills that will be assessed on the midterm. This review packet MAY NOT include every possible

More information

Practice A Introduction to Three-Dimensional Figures

Practice A Introduction to Three-Dimensional Figures Name Date Class Identify the base of each prism or pyramid. Then choose the name of the prism or pyramid from the box. rectangular prism square pyramid triangular prism pentagonal prism square prism triangular

More information

4. Describe the correlation shown by the scatter plot. 8. Find the distance between the lines with the equations and.

4. Describe the correlation shown by the scatter plot. 8. Find the distance between the lines with the equations and. Integrated Math III Summer Review Packet DUE THE FIRST DAY OF SCHOOL The problems in this packet are designed to help you review topics from previous mathematics courses that are essential to your success

More information

Name: Date: Class: Honors Geometry Advancement Practice (Part 2)

Name: Date: Class: Honors Geometry Advancement Practice (Part 2) Name: Date: lass: Honors Geometry Advancement Practice (Part 2) Part 1 Multiple hoice: Identify the choice that best completes the statement or answers the question. Place your answer on the Scantron sheet

More information

Geometry Semester 2 Review 2013

Geometry Semester 2 Review 2013 Geometry Semester 2 Review 2013 QUADRILATERALS: Classifying Quadrilaterals Properties of Parallelograms Proving that a Quadrilateral is a Parallelogram Special Parallelograms Trapezoids & Kites Placing

More information

Geometry Second Semester Review

Geometry Second Semester Review Class: Date: Geometry Second Semester Review Short Answer 1. Identify the pairs of congruent angles and corresponding sides. 2. Determine whether the rectangles are similar. If so, write the similarity

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

6. Find P, the image of P( 3, 6), after a reflection across the line y = x.

6. Find P, the image of P( 3, 6), after a reflection across the line y = x. Name: 1. What is the image of point after a rotation of 90 in the counterclockwise direction? 4. is the image of. Which of the following rotations could be used to perform this transformation? I. 90 counterclockwise

More information

Second Semester Exam Review Packet

Second Semester Exam Review Packet Geometry Name Second Semester Exam Review Packet CHAPTER 7 THE PYTHAGOREAN THEOREM. This theorem is used to find the lengths of the sides of a right triangle. Label the parts of the right triangle. What

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

Geometry Spring Final Review #1, 2014

Geometry Spring Final Review #1, 2014 Class: Date: Geometry Spring Final Review #1, 2014 Short Answer 1. Find the measure of each interior angle of a regular 45-gon. 2. Find the measure of each exterior angle of a regular decagon. 3. The door

More information

Practice Geometry Semester 2 Exam

Practice Geometry Semester 2 Exam Practice Geometry Semester 2 Exam Short Answer 1. Explain why the triangles are similar. Then find the value of x. 6 2 11 > > x The polygons are similar, but not necessarily drawn to scale. Find the values

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

Area of Regular Polygons

Area of Regular Polygons Area of Regular Polygons Name:_ Find the area of each regular polygon. Leave your answer in simplest (radical) form. If your answer does not have a radical form, then round to the nearest tenth. 8 14.4

More information

Geometry Spring Final Exam Review 1. Find the sum of the measures of the interior angles of a convex hexagon.

Geometry Spring Final Exam Review 1. Find the sum of the measures of the interior angles of a convex hexagon. Geometry Spring Final Exam Review 1. Find the sum of the measures of the interior angles of a convex hexagon. 2. Find the value of x. 68 110 135 x 3. Find the values of x and y in the parallelogram when,,

More information

Pythagorean Theorem. Pythagorean Theorem

Pythagorean Theorem. Pythagorean Theorem MPM 1D Unit 6: Measurement Lesson 1 Date: Learning goal: how to use Pythagorean Theorem to find unknown side length in a right angle triangle. Investigate: 1. What type of triangle is in the centre of

More information

GEOMETRY Spring Packet. Good Luck To: Date:

GEOMETRY Spring Packet. Good Luck To: Date: Good Luck To: Date: MA.912.G.1.1 1. has an endpoint at (2, 1) and a midpoint at (8, 3). Which measure is closest to the length of? A. 20.4 units B. 8.9 units C. 14.4 units D. 11.7 units MA.912.G.5.4 2.

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

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

Name: Second semester Exam Honors geometry Agan and Mohyuddin. May 13, 2014

Name: Second semester Exam Honors geometry Agan and Mohyuddin. May 13, 2014 Name: Second semester Exam Honors geometry Agan and Mohyuddin May 13, 2014 1. A circular pizza has a diameter of 14 inches and is cut into 8 equal slices. To the nearest tenth of a square inch, which answer

More information

Page 1 CCM6+7+ UNIT 9 GEOMETRY 2D and 3D 2D & 3D GEOMETRY PERIMETER/CIRCUMFERENCE & AREA SURFACE AREA & VOLUME

Page 1 CCM6+7+ UNIT 9 GEOMETRY 2D and 3D 2D & 3D GEOMETRY PERIMETER/CIRCUMFERENCE & AREA SURFACE AREA & VOLUME Page 1 CCM6+7+ UNIT 9 GEOMETRY 2D and 3D UNIT 9 2016-17 2D & 3D GEOMETRY PERIMETER/CIRCUMFERENCE & AREA SURFACE AREA & VOLUME CCM6+7+ Name: Math Teacher: Projected Test Date: MAIN CONCEPT(S) PAGE(S) Vocabulary

More information

GEOMETRY. STATE FINALS MATHEMATICS CONTEST May 1, Consider 3 squares A, B, and C where the perimeter of square A is 2 the

GEOMETRY. STATE FINALS MATHEMATICS CONTEST May 1, Consider 3 squares A, B, and C where the perimeter of square A is 2 the GEOMETRY STATE FINALS MATHEMATICS CONTEST May, 008. Consider squares A, B, and C where the perimeter of square A is the perimeter of square B, and the perimeter of square B is the perimeter of square C.

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

b. find the lateral area of the cylinder c. If the radius is doubled, what happens to the volume?

b. find the lateral area of the cylinder c. If the radius is doubled, what happens to the volume? im: How do we find the volume and surface area of pyramids? o Now: If the radius and the height of a cylinder is 4 a. find the volume of the cylinder b. find the lateral area of the cylinder c. If the

More information

Name: Target 12.2: Find and apply surface of Spheres and Composites 12.2a: Surface Area of Spheres 12.2b: Surface Area of Composites Solids

Name: Target 12.2: Find and apply surface of Spheres and Composites 12.2a: Surface Area of Spheres 12.2b: Surface Area of Composites Solids Unit 12: Surface Area and Volume of Solids Target 12.0: Euler s Formula and Introduction to Solids Target 12.1: Find and apply surface area of solids 12.1a: Surface Area of Prisms and Cylinders 12.1b:

More information

STRAND E: Measurement. UNIT 13 Areas Student Text Contents. Section Squares, Rectangles and Triangles Area and Circumference of Circles

STRAND E: Measurement. UNIT 13 Areas Student Text Contents. Section Squares, Rectangles and Triangles Area and Circumference of Circles UNIT 13 Areas Student Text Contents STRAND E: Measurement Unit 13 Areas Student Text Contents Section 13.1 Squares, Rectangles and Triangles 13. Area and Circumference of Circles 13.3 Sector Areas and

More information

32 ft. 48 ft. 15 cups 36, 60, 84

32 ft. 48 ft. 15 cups 36, 60, 84 2012 2013 Geometry / Geometry Honors Second Semester Study Guide 1. Matthew is 4 feet tall. t 5 o clock in the afternoon, Matthew casts a shadow 20 feet long. He is standing net to a telephone pole that

More information

Review: Geometry. Area Composite Figures Surface Area Volume Fractional Edge Length 3-D Figures and Nets Coordinate Graphing

Review: Geometry. Area Composite Figures Surface Area Volume Fractional Edge Length 3-D Figures and Nets Coordinate Graphing Review: Geometry Area Composite Figures Surface Area Volume Fractional Edge Length 3-D Figures and Nets Coordinate Graphing Perimeter: the distance around a polygon. Area: the number of square units needed

More information

Geometry Term 2 Final Exam Review

Geometry Term 2 Final Exam Review Geometry Term Final Eam Review 1. If X(5,4) is reflected in the line y =, then find X.. (5,). (5,0). (-1,) D. (-1,4) Name 6. Find the tangent of angle X. Round your answer to four decimal places. X. 0.5

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

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

Unit 3 Part 2. HONORS Geometry Final Exam Review 2 nd Semester. 2. Solve for x. A) B)

Unit 3 Part 2. HONORS Geometry Final Exam Review 2 nd Semester. 2. Solve for x. A) B) HONORS Geometry Final Exam Review 2 nd Semester Name: Unit 3 Part 2 1. 2. Solve for x. ) ) x 14 8 9 x 50 3. 12 ft ladder is leaning against a house. The bottom of the ladder is 7 ft from the base of the

More information

SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.

SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question. Review for Test 2 MATH 116 SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question. Solve the right triangle. If two sides are given, give angles in degrees and

More information

Geometry Vocabulary Math Fundamentals Reference Sheet Page 1

Geometry Vocabulary Math Fundamentals Reference Sheet Page 1 Math Fundamentals Reference Sheet Page 1 Acute Angle An angle whose measure is between 0 and 90 Acute Triangle A that has all acute Adjacent Alternate Interior Angle Two coplanar with a common vertex and

More information

Skills Practice Skills Practice for Lesson 7.1

Skills Practice Skills Practice for Lesson 7.1 Skills Practice Skills Practice for Lesson.1 Name Date Tangent Ratio Tangent Ratio, Cotangent Ratio, and Inverse Tangent Vocabulary Match each description to its corresponding term for triangle EFG. F

More information

Geometry Sem 2 REVIEW for Final Part A ink spring notebook. April 19, m. 7' 25' x. 18 m

Geometry Sem 2 REVIEW for Final Part A ink spring notebook. April 19, m. 7' 25' x. 18 m Geometry Sem 2 Review for Final Find the missing sides of each triangle. Leave answers as simplified radicals. 1. m 2. Part 4' 60 n 30 15 m 60 y m =, n = =, y = Find the missing sides of each triangle.

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

5.5 Right Triangles. 1. For an acute angle A in right triangle ABC, the trigonometric functions are as follow:

5.5 Right Triangles. 1. For an acute angle A in right triangle ABC, the trigonometric functions are as follow: 5.5 Right Triangles 1. For an acute angle A in right triangle ABC, the trigonometric functions are as follow: sin A = side opposite hypotenuse cos A = side adjacent hypotenuse B tan A = side opposite side

More information

Geometry - Grade 5. a b h l m o p q u C F J N R S Zd e i m n s t v w x K Q

Geometry - Grade 5. a b h l m o p q u C F J N R S Zd e i m n s t v w x K Q 2005 Washington State Math Championship Unless a particular problem directs otherwise, give an exact answer or one rounded to the nearest thousandth. Geometry - Grade 5. If given two rectangular solids,

More information

AW Math 10 UNIT 7 RIGHT ANGLE TRIANGLES

AW Math 10 UNIT 7 RIGHT ANGLE TRIANGLES AW Math 10 UNIT 7 RIGHT ANGLE TRIANGLES Assignment Title Work to complete Complete 1 Triangles Labelling Triangles 2 Pythagorean Theorem 3 More Pythagorean Theorem Eploring Pythagorean Theorem Using Pythagorean

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

Page 1 CCM6+7+ UNIT 9 GEOMETRY 2D and 3D. Angle Relationships, Area, and Perimeter/Circumference Surface Area and Volume

Page 1 CCM6+7+ UNIT 9 GEOMETRY 2D and 3D. Angle Relationships, Area, and Perimeter/Circumference Surface Area and Volume Page 1 CCM6+7+ UNIT 9 GEOMETRY 2D and 3D UNIT 9 2015-16 Angle Relationships, Area, and Perimeter/Circumference Surface Area and Volume CCM6+7+ Name: Math Teacher: Projected Test Date: MAIN CONCEPT(S) PAGE(S)

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

Additional Practice. Name Date Class

Additional Practice. Name Date Class Additional Practice Investigation 1 1. The four nets below will fold into rectangular boxes. Net iii folds into an open box. The other nets fold into closed boxes. Answer the following questions for each

More information

Reteaching. Solids. These three-dimensional figures are space figures, or solids. A cylinder has two congruent circular bases.

Reteaching. Solids. These three-dimensional figures are space figures, or solids. A cylinder has two congruent circular bases. 9- Solids These three-dimensional figures are space figures, or solids A B C D cylinder cone prism pyramid A cylinder has two congruent circular bases AB is a radius A cone has one circular base CD is

More information

acute angle An angle with a measure less than that of a right angle. Houghton Mifflin Co. 2 Grade 5 Unit 6

acute angle An angle with a measure less than that of a right angle. Houghton Mifflin Co. 2 Grade 5 Unit 6 acute angle An angle with a measure less than that of a right angle. Houghton Mifflin Co. 2 Grade 5 Unit 6 angle An angle is formed by two rays with a common end point. Houghton Mifflin Co. 3 Grade 5 Unit

More information

Unit 3 Part 2. Geometry Final Exam Review 2 nd Semester. acute. right. right. obtuse. acute. 2. Solve for x. A) B) 6.7

Unit 3 Part 2. Geometry Final Exam Review 2 nd Semester. acute. right. right. obtuse. acute. 2. Solve for x. A) B) 6.7 Geometry Final Exam Review 2 nd Semester Name: Unit 3 Part 2 1. acute right right obtuse acute 2. Solve for x. ) ) 40 x 14 8 x 50 6.7 3. 12 ft ladder is leaning against a house. The bottom of the ladder

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

Area of Circle, Sector and Segment

Area of Circle, Sector and Segment 1 P a g e m a t h s c l a s s x 1. Find the circumference and area of a circle of radius 10.5 cm. 2. Find the area of a circle whose circumference is 52.8 cm. 3. Afield is in the form of a circle. The

More information

Geometry- Unit 6 Notes. Simplifying Radicals

Geometry- Unit 6 Notes. Simplifying Radicals Geometry- Unit 6 Notes Name: Review: Evaluate the following WITHOUT a calculator. a) 2 2 b) 3 2 c) 4 2 d) 5 2 e) 6 2 f) 7 2 g) 8 2 h) 9 2 i) 10 2 j) 2 2 k) ( 2) 2 l) 2 0 Simplifying Radicals n r Example

More information

Geometry Final Exam REVIEW Fall 2015

Geometry Final Exam REVIEW Fall 2015 Geometry Final Exam REVIEW Fall 2015 Use the diagram to answer questions 1 and 2. Name: 6. Which theorem proves that lines j and k are parallel? 1. Which angles are vertical angles? A) 1 and 2 C) 3 and

More information

CHAPTER 12. Extending Surface Area and Volume

CHAPTER 12. Extending Surface Area and Volume CHAPTER 12 Extending Surface Area and Volume 0 1 Learning Targets Students will be able to draw isometric views of three-dimensional figures. Students will be able to investigate cross-sections of three-dimensional

More information

Geometry Core Content EOC Exam Review

Geometry Core Content EOC Exam Review Geometry Core Content EOC Exam Review 1. What is the midpoint of a line segment with endpoints ( 3, 7) and (6, 5)? 2. What is the midpoint of a line segment with endpoints ( 1, -5) and (-10, 3)? 3. In

More information

3 Dimensional Solids. Table of Contents. 3 Dimensional Solids Nets Volume Prisms and Cylinders Pyramids, Cones & Spheres

3 Dimensional Solids. Table of Contents. 3 Dimensional Solids Nets Volume Prisms and Cylinders Pyramids, Cones & Spheres Table of Contents 3 Dimensional Solids Nets Volume Prisms and Cylinders Pyramids, Cones & Spheres Surface Area Prisms Pyramids Cylinders Spheres More Practice/ Review 3 Dimensional Solids Polyhedron A

More information

G r a d e 1 0 I n t r o d u c t i o n t o A p p l i e d a n d P r e - C a l c u l u s M a t h e m a t i c s ( 2 0 S )

G r a d e 1 0 I n t r o d u c t i o n t o A p p l i e d a n d P r e - C a l c u l u s M a t h e m a t i c s ( 2 0 S ) G r a d e 0 I n t r o d u c t i o n t o A p p l i e d a n d P r e - C a l c u l u s M a t h e m a t i c s ( 0 S ) Midterm Practice Exam Answer Key G r a d e 0 I n t r o d u c t i o n t o A p p l i e d

More information

Be sure to label all answers and leave answers in exact simplified form.

Be sure to label all answers and leave answers in exact simplified form. Pythagorean Theorem word problems Solve each of the following. Please draw a picture and use the Pythagorean Theorem to solve. Be sure to label all answers and leave answers in exact simplified form. 1.

More information

UNIT 11 VOLUME AND THE PYTHAGOREAN THEOREM

UNIT 11 VOLUME AND THE PYTHAGOREAN THEOREM UNIT 11 VOLUME AND THE PYTHAGOREAN THEOREM INTRODUCTION In this Unit, we will use the idea of measuring volume that we studied to find the volume of various 3 dimensional figures. We will also learn about

More information

Intuitive Geometry Semester 2 Practice Exam

Intuitive Geometry Semester 2 Practice Exam 1. tire has a radius of 15 inches. What is the approximate circumference, in inches, of the tire?. 707 in.. 188 in.. 94 in.. 47 in. 2. In the figure below, adjacent sides of the polygon are perpendicular..

More information