GEOMETRY Spring Packet. Good Luck To: Date:

Save this PDF as:

Size: px
Start display at page:

Transcription

1 Good Luck To: Date: MA.912.G has an endpoint at (2, 1) and a midpoint at (8, 3). Which measure is closest to the length of? A units B. 8.9 units C units D units MA.912.G In the diagram below, the angle of depression from P to Q is 45. Which of the following is closest to the distance between P and Q? A ft. B ft. C ft. D ft. MA.912.G Five spheres are being painted for a display at a store. If the diameter of each sphere is 7 centimeters, which value is closest to the total surface area that will be painted? A. 770 B. 154 C. 192 D. 440 MA.912.G For triangles and, and. Based on this information, which statement is a reasonable conclusion? A. because they are corresponding angles of congruent triangles. B. because they are corresponding parts of congruent triangles. C. because they are corresponding angles of similar triangles. D. because they are corresponding parts of similar triangles. Page 1 of 22

2 MA.912.T On the map below, Main Street, 10th Street, and Highway 1 intersect to form a right triangle. The distance between 10th Street and Main Street along Highway 1 is 5.6 mi. Which measure is closest to the length of Main Street from Highway 1 to 10th Street? A. 8.7 mi B. 3.6 mi C. 4.7 mi D. 7.3 mi MA.912.G The side length of a smaller square is one-third the side length of a larger square. Which of the following statements describes the area of the smaller square? A. The area of the smaller square is the area of the larger square. B. The area of the smaller square is the area of the larger square. C. The area of the smaller square is the area of the larger square. D. The area of the smaller square is the area of the larger square. MA.912.G Southern Memorial Park in North Miami Beach is bounded on the west by NE 16 th Ave., on the east by NE 18th Ave., on the north by NE 157th Terrace, and on the south by NE 151st Street. All roads are straight and intersect in right angles. Diagonals across the park are congruent. What type of quadrilateral is Southern Memorial Park? A. parallelogram B. rectangle C. rhombus D. trapezoid Page 2 of 22

3 MA.912.G Rectangle STUW is shown below. What is ST? A. 33 in. B. 24 in. C. in. D. in. MA.912.G The hand on the circular clock in the figure below measures 10 cm. Which of the following is closest to the distance that the tip of the hand travels as it moves from the 12 to the 3? A. 79 cm B. 21 cm C. 63 cm D. 16 cm MA.912.G Devon and Jamal both draw regular polygons. Devon s polygon has 14 sides. Jamal s polygon has 15 sides. Which statement is NOT true? A. The measures of all the exterior angles of Devon s polygon are equal. B. The sum of all the exterior angles of Devon s polygon equals the sum of all the exterior angles of Jamal s polygon. C. The measure of one of the exterior angles of Jamal s polygon is greater than the measure of one of the exterior angles of Devon s polygon. D. The measure of one of the exterior angles of Jamal s polygon plus the measure of the adjacent interior angle is 180. Page 3 of 22

4 MA.912.G In the figure below, and. Based on this information, which statement can be proved true? A. B. CAB is an acute triangle. C. D. CAB is a right triangle. MA.912.G Susie s teacher draws the quadrilateral shown below on the board. Which of these observations cannot be used to prove that the quadrilateral is a parallelogram? A. The opposite sides are congruent. B. Both pairs of opposite angles are congruent. C. One pair of opposite sides is congruent and parallel. D. The diagonals are perpendicular. MA.912.G ΔABC has vertices at A(0, 0), B(9, 12), and C(25, 0). What is the distance between the midpoint of AB and the midpoint of AC? A. 7.5 units B. 10 units C. 15 units D. 20 units Page 4 of 22

5 MA.912.G In circle below,. A. B. C. D. Based on this information, which statement must be true? MA.912.G A 14-foot ladder is leaning against a house so that its top touches the top of the wall. The bottom of the ladder is 8 feet away from the wall. Which of these can be used to find the height of the wall? A. In a right triangle with a 14-foot leg and an 8-foot leg, find the length of the hypotenuse. B. In a right triangle with a 14-foot leg and an 8-foot leg, find the altitude to the hypotenuse. C. In a right triangle with a 14-foot hypotenuse and an 8-foot leg, find the length of the other leg. D. In a right triangle with a 14-foot hypotenuse and an 8-foot leg, find the altitude to the hypotenuse. MA.912.G In QRS, is an altitude. Which additional condition would NOT be sufficient to prove that QR = SR? A. T is the midpoint of. B. bisects QRS. C. TS = 2 cm D. RT = 4 cm Page 5 of 22

6 MA.912.G Within a square section of land, a landscaper will build a path, as represented by the shaded section in the diagram below. Which measure is closest to the value of y? A. 5.5 ft. B. 3.1 ft. C. 4.3 ft. D. 7.5 ft. MA.912.T A tree s shadow is 4.8 m long on level ground, as shown in the diagram. The angle of elevation from the tip of the shadow to the sun is 50. Based on this information, which of the following is closest to the height of the tree? A. 3.6 m B. 5.7 m C. 3.1 m D. 7.5 m Page 6 of 22

7 MA.912.G Points A, B, C, and D are the vertices of a square. Points E and F are the centers of two congruent semicircles that are tangent to each other at point G. Which value is closest to the area of the shaded regions? A. 7.7 B. 4.3 C D MA.912.G The drawing below can be used to find, the width of Pearl Pond at its widest point. What is the value of? A. 34 meters B. 36 meters C. 45 meters D. 22 meters Page 7 of 22

8 MA.912.G The drawing below shows Jeremy s mailbox and the brace he used to secure it to the post. If the length of the brace is approximately 18 inches, which is closest to, the distance between the bottom of the mailbox and the point on the post where Jeremy secured the brace? A. 17 in. B. B 25 in. C. C 19 in. D. D 11 in. MA.912.T From the observation deck of a lighthouse 70 meters above sea level, the lighthouse keeper can see a fishing boat at a 25-degree angle of depression. What is the horizontal distance, to the nearest meter, from the base of the lighthouse to the fishing boat? A. 32 m B. 77 m C. 150 m D. 165 m Page 8 of 22

9 MA.912.G Look at the cylinder shown below. What is the total surface area of this cylinder in terms of? A. 273 B. 371 C. 322 D. 956 MA.912.G Which of the following is true of all squares and all rectangles? I. All squares and all rectangles are equilateral. II. All squares and all rectangles are equiangular. III. All rectangles are squares. A. II only B. III only C. II and III only D. I, II, and III MA.912.G Mr. Franco is making a triangular cement slab and needs to set boards before he can pour the cement. He has already set two boards that are 5 feet and 8 feet in length. What is a reasonable range for the length of the third board that Mr. Franco could set for this triangular cement slab? A. The third board needs to be greater than 3 feet in length. B. The third board can be between 3 feet and 13 feet in length. C. The third board needs to be less than 13 feet in length. D. The third board can be 3 feet or 13 feet in length. Page 9 of 22

10 MA.912.G Matthew correctly constructed a model of a right triangle with the largest dimensions possible to fit in a cube, as shown in the figure below. If each side of the cube measures eight centimeters, what is the approximate length of the hypotenuse of this right triangle? A cm B cm C cm D. 16 cm MA.912.G The dimensions of 3 connected stores are shown below. How many square feet of floor space are used by the 3 stores? A. 9,600 B. 11,280 C. 21,141 D. 42,021 Page 10 of 22

11 MA.912.G Lisa was on vacation in California and saw this sign next to a large tree in the forest. After looking at the tree, she concluded that the diameter was correct but that the circumference was incorrect. Which explanation shows why Lisa concluded that the circumference on the sign was incorrect? A. The circumference should be slightly larger than the diameter. B. The circumference should be slightly larger than 3 times the radius. C. The circumference should be slightly larger than 3 times the diameter. D. The circumference should be slightly larger than 3 times the radius squared. MA.912.T Which expression can be used to find the length of in centimeters? A. B. C. D. Page 11 of 22

12 MA.912.G Points P, Q, R, and T all lie on circle W, as shown below. If circle W has an approximate area of 618 square centimeters and SW = 12 centimeters, which is closest to the length of? A. 24 cm B. 15 cm C. 37 cm D. 7 cm MA.912.G ΔXYZ has a right angle at point Y. Point W is between points X and Z. is perpendicular to. According to this information, which of the following is true? A. ΔZYW ΔXYZ B. ΔYZW ΔXYZ C. ΔXWY ΔXYZ D. ΔWYZ ΔXYZ MA.912.G In the figure below, Elm St. is to be constructed parallel to Main St. What is the value of? A. 70 B. 110 C. 120 D. 130 Page 12 of 22

13 MA.912.G Which statement about a triangular prism is true? A. A triangular prism has 4 faces, 6 edges, and 4 vertices. B. A triangular prism has 3 faces, 6 edges, and 3 vertices. C. A triangular prism has 5 faces, 9 edges, and 6 vertices. D. A triangular prism has 6 faces, 11 edges, and 8 vertices. MA.912.G Which type of polygon can never be equiangular? A. parallelogram B. obtuse triangle C. pentagon D. equilateral octagon MA.912.G The top of a bench has a length of 5 ft. and a width of 2 ft. A second bench is similar to the first bench. The top of the second bench is 3 ft. wide. What is the length of the top of the second bench? A. 6 ft. B. 7 ft. C. 4.5 ft. D. 7.5 ft. MA.912.G Lines r, t, n, and v intersect as shown to form isosceles trapezoid ABCD. Which expression represents the measure of in degrees? A. B. C. D. Page 13 of 22

14 MA.912.G In quadrilateral, and. Which of the following statements is a reasonable conclusion? A. B. Quadrilateral is a rectangle. C. Quadrilateral is an isosceles trapezoid. D. MA.912.G Study the figure below. Which theorem can be used to prove that ΔKLN ΔMNL? A. Side-Side-Side B. Side-Side-Angle C. Hypotenuse-Leg D. Angle-Angle-Side MA.912.G The area of a larger square is 16 times the area of a smaller square. How many times as long is the base of the larger square than the base of the smaller square? A. 2 times as long B. 4 times as long C. 8 times as long D. 16 times as long MA.912.G What is the difference between the sum of the measures of the interior angles of a regular pentagon and the sum of the measures of the exterior angles of a regular pentagon? A. 36 B. 72 C. 108 D. 180 Page 14 of 22

15 MA.912.G The figure below is a circle inside a rectangle. What is the area, to the nearest square inch, of the shaded region of the figure? A. 32 square inches B. 41 square inches C. 51 square inches D. 88 square inches MA.912.G What is an equation of the circle with center (-5,4) and a radius of 7? A. B. C. D. MA.912.G The measure of an interior angle of a regular polygon is 120. How many sides does the polygon have? A. 6 B. 5 C. 4 D. 3 MA.912.G Triangle ABC is similar to triangle DEF. The lengths of the sides of ABC are 5, 8, and 11. What is the length of the shortest side of DEF if its perimeter is 60? A. 10 B C. 20 D Page 15 of 22

16 MA.912.G A company is designing a flotation device made of foam. The shape of the design is modeled below. Which net can be folded to form the shape of the flotation device? A. B. C. D. MA.912.G Kristen is designing a triangular ramp so she can practice jumps with her bike. She has three pieces of wood. Which could be the possible measurements of these three pieces? A. 2 feet, 5 feet, 9 feet B. 3 feet, 4 feet, 8 feet C. 3 feet, 6 feet, 8 feet D. 4 feet, 5 feet, 9 feet MA.912.G Sarah is watching a monitor that shows the locations of ships in the ocean. These locations are displayed on a coordinate grid. To avoid collisions, a safety zone with a radius of 4 units is kept around each ship. Sarah notices one ship at point (-2, 3). Which equation represents the edge of the safety zone for this ship? A. B. C. D. Page 16 of 22

17 MA.912.G The door of the cabinet shown below can open to a maximum angle of 90. What is the length of the arc through which the door swings? A inches B inches C inches D inches MA.912.G A circle s center is at (2, 3), and one point on the circle is (3, 5). What is the equation of the circle? A. B. C. D. Page 17 of 22

18 50. A rhombus and a rectangle are shown below. Which property is true for the rhombus but not true for the rectangle? A. Opposite angles are congruent. B. Opposite angles are supplementary. C. Diagonals are congruent. D. Diagonals are perpendicular. MA.912.G The diameter of a sphere is 30 centimeters. Which of the following is closest to the surface area of the sphere? A. 377 square centimeters B. 2,827 square centimeters C. 11,310 square centimeters D. 45,239 square centimeters MA.912.G The storage cabinet shown below is in the shape of a rectangular solid. All six faces of the storage cabinet are to be painted. What is the surface area of the storage cabinet to the nearest hundredth of a square foot? A B C D Page 18 of 22

19 MA.912.D Which statement is logically equivalent to if the juice spilled on the chair, then there is a stain on the chair? A. If there is not a stain on the chair, then the juice did not spill on the chair. B. If the juice did not spill on the chair, then there is not a stain on the chair. C. The juice spilled on the chair if and only if there is a stain on the chair. D. If there is a stain on the chair, then the juice spilled on the chair. MA.912.D Which statement is the inverse of the statement below? If you do your homework, then you will play a game A. If you play a game, then you do your homework. B. If you do not do your homework, then you will not play a game. C. If you don t a play game, then you don t do your homework. D. If you do not do your homework, then you will play a game. MA.912.D Which of the following is the contrapositive of the conditional statement below? If Alex gets at least a B on the final test, then he will pass the class A. If Alex gets a C or less on the final test, then he will not pass the class. B. If Alex does not get at least a B on the final test, then he will not pass the class. C. If Alex does not pass the class, then he did not get at least a B on the final test. D. Alex will pass the class if and only if he gets at least a B on the final test. MA.912.D Write the converse of the following statement. If two angles are vertical, then they are congruent. A. If two angles are not vertical, then they are not congruent. B. If two angles are not vertical, then they are congruent. C. If two angles are congruent, then they are vertical. D. If two angles are not congruent, then they are not vertical. MA.912.G Quadrilateral JKLM has vertices J(-4, -1), K(-1, 2), and L(6, 2). For what coordinates of point M is JKLM a parallelogram? A. (3, -2) B. (3, -1) C. (4, 0) D. (4, -1) Page 19 of 22

20 MA.912.G Circus elephants perform tricks on crates with sides that form quadrilaterals. In order to maximize the amount of weight that the crate can hold, the quadrilaterals must meet the following requirements: I. Exactly one pair of opposite sides should be parallel. II. The base angles must be equal. III. The sides that are not parallel must be equal to each other. What kind of quadrilateral should the circus owner order? A. a kite B. a square C. a parallelogram D. an isosceles trapezoid MA.912.G Give the missing reason to complete the following proof. Statements A. Alternate Interior Angles Theorem B. Angle-Angle Similarity Postulate C. Corresponding Angles Postulate D. Vertical Angles Theorem Reasons 1. Given 2. Given 4. SAS Postulate 5. C.P.C.T.C. 60. The rectangular prism below has a surface area of 2,176 square centimeters. A similar rectangular prism has a surface area of 544 square centimeters. How many centimeters long is the longest edge of the similar prism? Page 20 of 22

21 MA.912.G ABC and PQR are shown in the diagram below. Based on the information provided in the diagram, what is in degrees? MA.912.G What is the m M in quadrilateral LMNP? MA.912.G A wheel is being made with spokes that are 25 cm long, as shown in the figure below. The spokes meet at the center of the wheel and will be separated so that there is 5.6 cm along the curved part of the wheel between any two ends of a spoke. What is the central angle between any two consecutive spokes? Round your answer to the nearest degree. Page 21 of 22

22 MA.912.G In right triangle, is an altitude of the triangle that cuts the hypotenuse into two segments with lengths as shown. What is the height of triangle? MA.912.G A banner is composed of two congruent triangles and a rectangle, as shown below. What is the total area of the banner in square centimeters? Page 22 of 22

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

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

Geometry First Semester Practice Final (cont)

49. Determine the width of the river, AE, if A. 6.6 yards. 10 yards C. 12.8 yards D. 15 yards Geometry First Semester Practice Final (cont) 50. In the similar triangles shown below, what is the value of

Geometry Quarter 4 Test Study Guide

Geometry Quarter 4 Test Study Guide 1. Write the if-then form, the converse, the inverse and the contrapositive for the given statement: All right angles are congruent. 2. Find the measures of angles A,

Geometry Third Quarter Study Guide

Geometry Third Quarter Study Guide 1. Write the if-then form, the converse, the inverse and the contrapositive for the given statement: All right angles are congruent. 2. Find the measures of angles A,

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,

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

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.

Geometry SIA #2 Practice Exam

Class: Date: Geometry SIA #2 Practice Exam Short Answer 1. Justify the last two steps of the proof. Given: RS UT and RT US Prove: RST UTS Proof: 1. RS UT 1. Given 2. RT US 2. Given 3. ST TS 3.? 4. RST

1. Find the circumcenter of the triangle with the given vertices: D(0,7), E(-3,1), F(3,1)

2011 KCATM Geometry Individual Test 1. Find the circumcenter of the triangle with the given vertices: D(0,7), E(-3,1), F(3,1) a. (0, 5) b. (3.25, 0) c. (0, 3.25) d. (5,0) 2. What kind of triangle has the

1. The dimensions and shape of a rectangular volleyball court are shown in this picture.

1. The dimensions and shape of a rectangular volleyball court are shown in this picture. What is the approximate distance of a serve that is hit diagonally from one corner of the court to the other? 2.

Classroom Assessments Based on Standards Geometry Chapter 1 Assessment Model GML201

Classroom Assessments Based on Standards Geometry Chapter 1 Assessment Model GML201 Student Name: Teacher Name: ID Number: Date 1. You work for the highway department for your county board. You are in

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

Distance in Coordinate Geometry

Page 1 of 6 L E S S O N 9.5 We talk too much; we should talk less and draw more. Distance in Coordinate Geometry Viki is standing on the corner of Seventh Street and 8th Avenue, and her brother Scott is

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

Postulates, Theorems, and Corollaries. Chapter 1

Chapter 1 Post. 1-1-1 Through any two points there is exactly one line. Post. 1-1-2 Through any three noncollinear points there is exactly one plane containing them. Post. 1-1-3 If two points lie in a

Modeling with Geometry

Modeling with Geometry 6.3 Parallelograms https://mathbitsnotebook.com/geometry/quadrilaterals/qdparallelograms.html Properties of Parallelograms Sides A parallelogram is a quadrilateral with both pairs

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

MATH-G Geometry SOL Test 2013 Exam not valid for Paper Pencil Test Sessions

MATH-G Geometry SOL Test 2013 Exam not valid for Paper Pencil Test Sessions [Exam ID:W6X3AL 1 Let p represent Two angles are vertical angles. Let q represent The angles are congruent. What is the symbolic

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

Geometry. Released Test Questions. 2 In the diagram below,! 1 "!4. Consider the arguments below.

1 Which of the following best describes deductive reasoning? using logic to draw conclusions based on accepted statements accepting the meaning of a term without definition defining mathematical terms

Unit 7: 3D Figures 10.1 & D formulas & Area of Regular Polygon

Unit 7: 3D Figures 10.1 & 10.2 2D formulas & Area of Regular Polygon NAME Name the polygon with the given number of sides: 3-sided: 4-sided: 5-sided: 6-sided: 7-sided: 8-sided: 9-sided: 10-sided: Find

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

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

Geometry/Trigonometry Unit 5: Polygon Notes Period:

Geometry/Trigonometry Unit 5: Polygon Notes Name: Date: Period: # (1) Page 270 271 #8 14 Even, #15 20, #27-32 (2) Page 276 1 10, #11 25 Odd (3) Page 276 277 #12 30 Even (4) Page 283 #1-14 All (5) Page

Florida Geometry End-of-Course Assessment Item Bank, Polk County School District

Benchmark: MA.91.G.4.7 Apply the inequality theorems: triangle inequality, inequality in one triangle, and the Hinge Theorem. Problem 1: A surveyor took some measurements across a river, as shown below.

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

1 William is drawing pictures of cross sections of the right circular cone below.

1 William is drawing pictures of cross sections of the right circular cone below. Which drawing can not be a cross section of a cone? 1) 2) 3) 4) 2 An equation of a line perpendicular to the line represented

EVERYTHING YOU NEED TO KNOW TO GET A GRADE C GEOMETRY & MEASURES (FOUNDATION)

EVERYTHING YOU NEED TO KNOW TO GET A GRADE C GEOMETRY & MEASURES (FOUNDATION) Rhombus Trapezium Rectangle Rhombus Rhombus Parallelogram Rhombus Trapezium or Rightangle Trapezium 110 250 Base angles in

FLORIDA GEOMETRY EOC TOOLKIT

FLORIDA GEOMETRY EOC TOOLKIT CORRELATION Correlated to the Geometry End-of-Course Benchmarks For more information, go to etacuisenaire.com\florida 78228IS ISBN 978-0-7406-9565-0 MA.912.D.6.2 Find the converse,

Mr. McCaffrey's Big Tamale Summative Math CST Review Test PART 2.

Mr. McCaffrey's Big Tamale Summative Math CST Review Test PART 2. Multiple Choice Identify the choice that best completes the statement or answers the question. 1. In the statement If a figure has three

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

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

G.8D. A. 495cm2. B. 584cm2. C. 615cm2. D. 975cm2 G.9B, G.2B A. 65 B. 55 C. 45 D. 35

1. Mary, Dan Jane and Lucy walked into a shop at four different times. If Mary went into the shop before Lucy, Jane was the first person after Dan,and Mary was not the first person in the shop, who wa

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

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

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.

GEOMETRY PRACTICE TEST END OF COURSE version A (MIXED) 2. Which construction represents the center of a circle that is inscribed in a triangle?

GEOMETRY PRACTICE TEST END OF COURSE version A (MIXED) 1. The angles of a triangle are in the ratio 1:3:5. What is the measure, in degrees, of the largest angle? A. 20 B. 30 C. 60 D. 100 3. ABC and XYZ

Course 1 Unit 5 Practice

Course Unit Practice Lesson -. Attend to precision. Use the Triangle Inequality Property to determine whether a triangle can be formed with the given side lengths in inches. If a triangle can be formed,

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.

Lesson 9: Coordinate Proof - Quadrilaterals Learning Targets

Lesson 9: Coordinate Proof - Quadrilaterals Learning Targets Using coordinates, I can find the intersection of the medians of a triangle that meet at a point that is two-thirds of the way along each median

Period: Date Lesson 13: Analytic Proofs of Theorems Previously Proved by Synthetic Means

: Analytic Proofs of Theorems Previously Proved by Synthetic Means Learning Targets Using coordinates, I can find the intersection of the medians of a triangle that meet at a point that is two-thirds of

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

Section 1-1 Points, Lines, and Planes

Section 1-1 Points, Lines, and Planes I CAN. Identify and model points, lines, and planes. Identify collinear and coplanar points and intersecting lines and planes in space. Undefined Term- Words, usually

If two sides and the included angle of one triangle are congruent to two sides and the included angle of 4 Congruence

Postulates Through any two points there is exactly one line. Through any three noncollinear points there is exactly one plane containing them. If two points lie in a plane, then the line containing those

Geometry SIA #2. Name: Class: Date: Multiple Choice Identify the choice that best completes the statement or answers the question.

Class: Date: Geometry SIA #2 Multiple Choice Identify the choice that best completes the statement or answers the question. 1. Find the value of x. a. 4 b. 8 c. 6.6 d. 6 2. Find the length of the midsegment.

Unit 3: Triangles and Polygons

Unit 3: Triangles and Polygons Background for Standard G.CO.9: Prove theorems about triangles. Objective: By the end of class, I should Example 1: Trapezoid on the coordinate plane below has the following

Level 1 Geometry Review Topics

Level 1 Geometry Review Topics Logic If-then, inverse, converse, and contrapositive Complementary and Supplementary Angles Vertical Angles Congruent Triangles ASA, SAS, SSS, AAS, HL, CPCTC Altitudes, Medians,

AZMERIT GEOMETRY REVIEW

ZMERIT GEOMETRY REVIEW NME: HPTER 2 Rewrite the conditional statement in if-then form. Then write the converse, inverse, and contrapositive of the conditional statement. Decide whether each statement is

Shortcuts, Formulas & Tips

& present Shortcuts, Formulas & Tips For MBA, Banking, Civil Services & Other Entrance Examinations Vol. 3: Geometry Lines and Angles Sum of the angles in a straight line is 180 Vertically opposite angles

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

MATH DICTIONARY. Number Sense. Number Families. Operations. Counting (Natural) Numbers The numbers we say when we count. Example: {0, 1, 2, 3, 4 }

Number Sense Number Families MATH DICTIONARY Counting (Natural) Numbers The numbers we say when we count Example: {1, 2, 3, 4 } Whole Numbers The counting numbers plus zero Example: {0, 1, 2, 3, 4 } Positive

Mathematics II Resources for EOC Remediation

Mathematics II Resources for EOC Remediation G CO Congruence Cluster: G CO.A.3 G CO.A.5 G CO.C.10 G CO.C.11 The information in this document is intended to demonstrate the depth and rigor of the Nevada

GEOMETRY REVIEW PACKET

Obstacles are those frightful things you see when you take your eyes off your goal -Henry Ford As of Spring 2016, geometry is no longer a prerequisite for MTH101 and MTH165 Spend time with the material

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.

U4 Polygon Notes January 11, 2017 Unit 4: Polygons

Unit 4: Polygons 180 Complimentary Opposite exterior Practice Makes Perfect! Example: Example: Practice Makes Perfect! Def: Midsegment of a triangle - a segment that connects the midpoints of two sides

NAEP Released Items Aligned to the Iowa Core: Geometry

NAEP Released Items Aligned to the Iowa Core: Geometry Congruence G-CO Experiment with transformations in the plane 1. Know precise definitions of angle, circle, perpendicular line, parallel line, and

CORRELATION TO GEORGIA QUALITY CORE CURRICULUM FOR GEOMETRY (GRADES 9-12)

CORRELATION TO GEORGIA (GRADES 9-12) SUBJECT AREA: Mathematics COURSE: 27. 06300 TEXTBOOK TITLE: PUBLISHER: Geometry: Tools for a Changing World 2001 Prentice Hall 1 Solves problems and practical applications

Points, lines, angles

Points, lines, angles Point Line Line segment Parallel Lines Perpendicular lines Vertex Angle Full Turn An exact location. A point does not have any parts. A straight length that extends infinitely in

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

1997 Geometry part 1

1997 Geometry part 1 1. In the figure below is similar to E, is the midpoint of segment and the perimeter of E = 10. Find the perimeter of. a) 15 b) 0 c) 5 d) 30 e) 40 E. In the figure below m 1 = m and

Reteaching Transversals and Angle Relationships

Name Date Class Transversals and Angle Relationships INV Transversals A transversal is a line that intersects two or more coplanar lines at different points. Line a is the transversal in the picture to

Texas High School Geometry

Texas High School Geometry This course covers the topics shown below. Students navigate learning paths based on their level of readiness. Institutional users may customize the scope and sequence to meet

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

ACT SparkNotes Test Prep: Plane Geometry

ACT SparkNotes Test Prep: Plane Geometry Plane Geometry Plane geometry problems account for 14 questions on the ACT Math Test that s almost a quarter of the questions on the Subject Test If you ve taken

5B.4 ~ Calculating Sine, Cosine, Tangent, Cosecant, Secant and Cotangent WB: Pgs :1-10 Pgs : 1-7

SECONDARY 2 HONORS ~ UNIT 5B (Similarity, Right Triangle Trigonometry, and Proof) Assignments from your Student Workbook are labeled WB Those from your hardbound Student Resource Book are labeled RB. Do

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

6.G.1. SELECTED RESPONSE Select the correct answer. CONSTRUCTED RESPONSE. 3. What is the area of this shape?

6.G.1 SELECTED RESPONSE Select the correct answer. 3. What is the area of this shape? 1. What is the area of the triangle below? 5.65 cm 10.9375 cm 11.5 cm 1.875 cm 48 in 144 in 96 in 88 in 4. What is

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

Last Edit Page 1

G.(2) Coordinate and transformational geometry. The student uses the process skills to understand the connections between algebra and geometry and uses the oneand two-dimensional coordinate systems to

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

- 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 - 5 4 m 5 km 9

Maximum and Minimum Problems

Maximum and Minimum Problems Numbers 1. The sum of two positive numbers is 20. Find the two numbers such that a) the sum of the square is minimum, b) the product of one and the square of the other is maximum.

COURSE OBJECTIVES LIST: GEOMETRY

COURSE OBJECTIVES LIST: GEOMETRY Geometry Honors is offered. PREREQUISITES: All skills from Algebra I are assumed. A prerequisites test is given during the first week of class to assess knowledge of these

Contents. Lines, angles and polygons: Parallel lines and angles. Triangles. Quadrilaterals. Angles in polygons. Congruence.

Colegio Herma. Maths Bilingual Departament Isabel Martos Martínez. 2015 Contents Lines, angles and polygons: Parallel lines and angles Triangles Quadrilaterals Angles in polygons Congruence Similarity

GEOMETRY SEMESTER 2 REVIEW PACKET 2016

GEOMETRY SEMESTER 2 REVIEW PACKET 2016 Your Geometry Final Exam will take place on Friday, May 27 th, 2016. Below is the list of review problems that will be due in order to prepare you: Assignment # Due

Mgr. ubomíra Tomková GEOMETRY

GEOMETRY NAMING ANGLES: any angle less than 90º is an acute angle any angle equal to 90º is a right angle any angle between 90º and 80º is an obtuse angle any angle between 80º and 60º is a reflex angle

GEOMETRY STANDARDS. August 2009 Geometry 1

STANDARDS The DoDEA high school mathematics program centers around six courses which are grounded by rigorous standards. Two of the courses, AP Calculus and AP Statistics, are defined by a course syllabus

Carnegie Learning High School Math Series: Geometry Indiana Standards Worktext Correlations

Carnegie Learning High School Math Series: Logic and Proofs G.LP.1 Understand and describe the structure of and relationships within an axiomatic system (undefined terms, definitions, axioms and postulates,

Geometry Christmas Break

Name: Date: Place all answers for Part. A on a Scantron. 1. In the diagram below, congruent figures 1, 2, and 3 are drawn. 3. Which figure can have the same cross section as a sphere? Which sequence of

Spring 2000 Released SOL End-of-Course Test Geometry

50 1. design made with parallel lines is sewn on a pocket of a shirt as shown. What is the value of? 50 80 100 130 2 gardener rested his hoe against a shed. The hoe made a 50 angle with the ground as shown

Chapter 2 Diagnostic Test

Chapter Diagnostic Test STUDENT BOOK PAGES 68 7. Calculate each unknown side length. Round to two decimal places, if necessary. a) b). Solve each equation. Round to one decimal place, if necessary. a)

Final Exam Review. Multiple Choice Identify the choice that best completes the statement or answers the question. 1. Find the length of.

Final Exam Review Multiple hoice Identify the choice that best completes the statement or answers the question. 1. Find the length of. 9 8 7 6 5 4 3 2 1 0 1 a. = 7 c. = 7 b. = 9 d. = 8 2. Find the best

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

Thomas Jefferson High School for Science and Technology Program of Studies TJ Math 1

Course Description: This course is designed for students who have successfully completed the standards for Honors Algebra I. Students will study geometric topics in depth, with a focus on building critical

1. Each of these square tiles has an area of 25 square inches. What is the perimeter of this shape?

1. Each of these square tiles has an area of 25 square inches. What is the perimeter of this shape? Use the figure below to answer the following questions. 2. Which statement must be true to determine

Homework. GRADE 5 MODULE 5 Addition and Multiplication with Volume and Area

GRADE 5 MODULE 5 Addition and Multiplication with Volume and Area Homework Video tutorials: http://bit.ly/eurekapusd Info for parents: http://bit.ly/pusdmath 5 GRADE Mathematics Curriculum GRADE 5 MODULE

TOPIC 2 Building Blocks of Geometry. Good Luck To

Good Luck To Period Date PART I DIRECTIONS: Use the Terms (page 2), Definitions (page 3), and Diagrams (page 4) to complete the table Term (capital letters) 1. Chord 2. Definition (roman numerals) Pictures

Q4 Geometry Benchmark Review (FINAL EXAM REVIEW)

Class: Date: Q4 Geometry Benchmark Review (FINAL EXAM REVIEW) Multiple Choice Identify the choice that best completes the statement or answers the question. Graph the image of each figure under a translation

Semester Exam Review. Honors Geometry A

Honors Geometry 2015-2016 The following formulas will be provided in the student examination booklet. Pythagorean Theorem In right triangle with right angle at point : 2 2 2 a b c b c a Trigonometry In

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

0815geo. Geometry CCSS Regents Exam In the diagram below, a square is graphed in the coordinate plane.

0815geo 1 A parallelogram must be a rectangle when its 1) diagonals are perpendicular ) diagonals are congruent ) opposite sides are parallel 4) opposite sides are congruent If A' B' C' is the image of

Grade VIII. Mathematics Geometry Notes. #GrowWithGreen

Grade VIII Mathematics Geometry Notes #GrowWithGreen Polygons can be classified according to their number of sides (or vertices). The sum of all the interior angles of an n -sided polygon is given by,

Geometry EOC. SOL Simulation

Geometry EO SOL Simulation Graphing alculator ctive hesterfield ounty Public Schools epartment of Mathematics 2011-2012 1 George used a decorative gate to connect the fencing around his backyard. E F 60

The cosine ratio is a ratio involving the hypotenuse and one leg (adjacent to angle) of the right triangle Find the cosine ratio for. below.

The Cosine Ratio The cosine ratio is a ratio involving the hypotenuse and one leg (adjacent to angle) of the right triangle. From the diagram to the right we see that cos C = This means the ratio of the

A triangle that has three acute angles Example:

1. acute angle : An angle that measures less than a right angle (90 ). 2. acute triangle : A triangle that has three acute angles 3. angle : A figure formed by two rays that meet at a common endpoint 4.

3 Identify shapes as two-dimensional (lying in a plane, flat ) or three-dimensional ( solid ).

Geometry Kindergarten Identify and describe shapes (squares, circles, triangles, rectangles, hexagons, cubes, cones, cylinders, and spheres). 1 Describe objects in the environment using names of shapes,

Wahkiakum School District, Pre-EOC Geometry 2012

Pre-EO ssesment Geometry #2 Wahkiakum School istrict GEOM Page 1 1. Seth was supposed to prove PQR by SS for his homework assignment. He wrote the following proof: Given PRQ, PQ, and QR, then PQR by SS.

A B C Geometry Midterm Review. 1. Rectangle ABCD is shown below. Find the midpoint of diagonal.

Permitted resources: 2016 2017 Geometry Midterm Review 1. Rectangle B is shown below. Find the midpoint of diagonal. FS pproved calculator Geometry FS Reference Sheet 6. Tony took the city bus from the