Name: ________________________ Class: ___________________ Date: __________ ID: A

6

Chapter 1 Review

____ 1. Name the line and plane shown in the diagram.

A. QP

and plane SR C. PQ

and plane SP

B. PQ

and plane PQS D. line P and plane PQS

____ 2. Are points C, G, and H collinear or noncollinear?

A. noncollinear B. collinear C. impossible to tell

____ 3. Are M , N , and O collinear? If so, name the line on which they lie.

A. Yes, they lie on the line N P.

B. Yes, they lie on the line M P.

C. Yes, they lie on the line MO.

D. No, the three points are not collinear.

Name: ________________________ ID: A

2

____ 4. What are the names of three planes that contain point A?

A. planes ABDC, ABFE, and ACHF

B. planes ABDC, ABFE, and CDHG

C. planes CDHG, ABFE, and ACHF

D. planes ABDC, EFGH, and ACHF

____ 5. What is the name of the ray that is opposite BD

?

A. BD

B. CD

C. BA

D. AD

Name: ________________________ ID: A

3

____ 6. What are the names of the segments in the figure?

A. The three segments are AB, CA, and AC .

B. The three segments are AB, BC , and BA.

C. The three segments are AB, BC , and AC.

D. The two segments are AB and BC .

____ 7. Name the intersection of plane ACG and plane BCG.

A. AC

C. CG

B. BG

D. The planes need not intersect.

____ 8. What is the intersection of plane STXW and plane SVUT?

A. SV

B. ST

C. YZ

D. TX

____ 9. What is the length of AC?

A. 13 B. 16 C. 15 D. 3

Name: ________________________ ID: A

4

____ 10. If EF 2x 12, FG 3x 15, and EG 23, find the values of x, EF, and FG. The drawing is not to scale.

A. x = 10, EF = 8, FG = 15 C. x = 10, EF = 32, FG = 45

B. x = 3, EF = –6, FG = –6 D. x = 3, EF = 8, FG = 15

____ 11. If EG 25, and point F is 2/5 of the way between E and G, find the value FG. The drawing is not to scale.

A. 12.5 C. 15

B. 10 D. 20

____ 12. What segment is congruent to AC?

A. BD B. BE C. CE D. none

____ 13. If Z is the midpoint of RT , what are x, RZ, and RT?

A. x = 18, RZ = 134, and RT = 268 C. x = 20, RZ = 150, and RT = 300

B. x = 22, RZ = 150, and RT = 300 D. x = 20, RZ = 300, and RT = 150

Name: ________________________ ID: A

5

____ 14. If mAOC 85, mBOC 2x 10, and mAOB 4x 15, find the degree measure of BOC andAOB. The diagram is not to scale.

A. mBOC 30; mAOB 55 C. mBOC 45; mAOB 40

B. mBOC 40; mAOB 45 D. mBOC 55; mAOB 30

____ 15. If mDEF 119, then what are mFEG and mHEG? The diagram is not to scale.

A. mFEG 71, mHEG 119 C. mFEG 61, mHEG 129

B. mFEG 119, mHEG 61 D. mFEG 61, mHEG 119

____ 16. If mEOF 26 and mFOG 38, then what is the measure of EOG? The diagram is not to scale.

A. 64 B. 12 C. 52 D. 76

Name: ________________________ ID: A

6

____ 17. How are the two angles related?

A. supplementary C. vertical

B. adjacent D. complementary

____ 18. Name an angle complementary to BOC.

A. DOE B. BOE C. BOA D. COD

____ 19. Name an angle vertical to EGH.

A. EGF B. IGF C. HGI D. HGJ

Name: ________________________ ID: A

7

____ 20. The complement of an angle is 53°. What is the measure of the angle?A. 37° B. 137° C. 47° D. 127°

____ 21. 1 and 2 are a linear pair. m1 x 15, and m2 x 77. Find the measure of each angle.A. 1 59, 2 131 C. 1 44, 2 146

B. 1 44, 2 136 D. 1 59, 2 121

____ 22. Angle A and angle B are a linear pair. If mA 4mB, find mA and mB.A. 144, 36 B. 36, 144 C. 72, 18 D. 18, 72

____ 23. MO

bisects LMN, mLMO 6x 20, and mNMO 2x 36. Solve for x and find mLMN. The diagram is not to scale.

A. x = 13, mLMN 116 C. x = 14, mLMN 128

B. x = 13, mLMN 58 D. x = 14, mLMN 64

____ 24. Which point is the midpoint of AB?

A. –0.5 B. 2 C. 1 D. 3

____ 25. Find the coordinates of the midpoint of the segment whose endpoints are H(6, 4) and K(2, 8).A. (4, 4) B. (2, 2) C. (8, 12) D. (4, 6)

____ 26. M(7, 5) is the midpoint of RS . The coordinates of S are (8, 7). What are the coordinates of R?A. (9, 9) B. (6, 3) C. (14, 10) D. (7.5, 6)

____ 27. Find the distance between points P(8, 2) and Q(3, 8) to the nearest tenth.A. 11 B. 7.8 C. 61 D. 14.9

Name: ________________________ ID: A

8

____ 28. Noam walks home from school by walking 8 blocks north and then 6 blocks east. How much shorter would his walk be if there were a direct path from the school to his house? Assume that the blocks are square.A. 14 blocks C. 4 blocks

B. 10 blocks D. The distance would be the same.

____ 29. A high school soccer team is going to Columbus, Ohio to see a professional soccer game. A coordinate grid is superimposed on a highway map of Ohio. The high school is at point (3, 4) and the stadium in Columbus is at point (7, 1). The map shows a highway rest stop halfway between the cities. What are the coordinates of the rest stop? What is the approximate distance between the high school and the stadium? (One unit 8.6 miles.)

A. 32

, 52

, 21.5 miles C. 5, 52

, 43 miles

B. 32

, 52

, 215 miles D. 5, 52

, 5 miles

____ 30. Ken is adding a ribbon border to the edge of his kite. Two sides of the kite measure 9.5 inches, while the other two sides measure 17.8 inches. How much ribbon does Ken need?A. 45.1 in. B. 27.3 in. C. 54.6 in. D. 36.8 in.

____ 31. Find the circumference of the circle in terms of .

A. 156 in. B. 39 in. C. 1521 in. D. 78 in.

____ 32. If the perimeter of a square is 140 inches, what is its area?A. 1225 in. 2 B. 35 in. 2 C. 19,600 in. 2 D. 140 in. 2

____ 33. Find the area of a rectangle with base of 2 yd and a height of 5 ft.A. 10 yd2 B. 30 ft2 C. 10 ft2 D. 30 yd2

Name: ________________________ ID: A

9

____ 34. Find the area of the circle to the nearest tenth. Use 3.14 for .

A. 30.5 in.2 B. 295.4 in.2 C. 60.9 in.2 D. 73.9 in.2

____ 35. Write an expression that gives the area of the shaded region in the figure below. You do not have to evaluate the expression. The diagram is not to scale.

A. A 12 13 4 6 C. A (13 6) (12 4)

B. A (13 4) (12 6) D. A 12 13 (12 4) (13 6)

ID: A

1

Chapter 1 ReviewAnswer Section

1. ANS: B PTS: 1 DIF: L3 REF: 1-2 Points, Lines, and PlanesOBJ: 1-2.1 To understand basic terms and postulates of geometry NAT: CC G.CO.1| G.3.b| G.4.b TOP: 1-2 Problem 1 Naming Points, Lines, and PlanesKEY: line | plane

2. ANS: A PTS: 1 DIF: L3 REF: 1-2 Points, Lines, and PlanesOBJ: 1-2.1 To understand basic terms and postulates of geometry NAT: CC G.CO.1| G.3.b| G.4.b TOP: 1-2 Problem 1 Naming Points, Lines, and PlanesKEY: point | collinear points

3. ANS: C PTS: 1 DIF: L2 REF: 1-2 Points, Lines, and PlanesOBJ: 1-2.1 To understand basic terms and postulates of geometry NAT: CC G.CO.1| G.3.b| G.4.b TOP: 1-2 Problem 1 Naming Points, Lines, and PlanesKEY: point | line | collinear points

4. ANS: A PTS: 1 DIF: L4 REF: 1-2 Points, Lines, and PlanesOBJ: 1-2.1 To understand basic terms and postulates of geometry NAT: CC G.CO.1| G.3.b| G.4.b TOP: 1-2 Problem 1 Naming Points, Lines, and PlanesKEY: plane | point

5. ANS: C PTS: 1 DIF: L2 REF: 1-2 Points, Lines, and PlanesOBJ: 1-2.1 To understand basic terms and postulates of geometry NAT: CC G.CO.1| G.3.b| G.4.b TOP: 1-2 Problem 2 Naming Segments and RaysKEY: ray | opposite rays

6. ANS: C PTS: 1 DIF: L3 REF: 1-2 Points, Lines, and PlanesOBJ: 1-2.1 To understand basic terms and postulates of geometry NAT: CC G.CO.1| G.3.b| G.4.b TOP: 1-2 Problem 2 Naming Segments and RaysKEY: segment

7. ANS: C PTS: 1 DIF: L4 REF: 1-2 Points, Lines, and PlanesOBJ: 1-2.1 To understand basic terms and postulates of geometry NAT: CC G.CO.1| G.3.b| G.4.b TOP: 1-2 Problem 3 Finding the Intersection of Two PlanesKEY: plane | intersection

8. ANS: B PTS: 1 DIF: L3 REF: 1-2 Points, Lines, and PlanesOBJ: 1-2.1 To understand basic terms and postulates of geometry NAT: CC G.CO.1| G.3.b| G.4.b TOP: 1-2 Problem 3 Finding the Intersection of Two PlanesKEY: plane | intersection

9. ANS: A PTS: 1 DIF: L2 REF: 1-3 Measuring SegmentsOBJ: 1-3.1 To find and compare lengths of segments NAT: CC G.CO.1| CC G.GPE.6| G.3.bTOP: 1-3 Problem 1 Measuring Segment Lengths KEY: coordinate | distance

10. ANS: A PTS: 1 DIF: L4 REF: 1-3 Measuring SegmentsOBJ: 1-3.1 To find and compare lengths of segments NAT: CC G.CO.1| CC G.GPE.6| G.3.bTOP: 1-3 Problem 2 Using the Segment Addition Postulate KEY: coordinate | distance

11. ANS: C PTS: 1 DIF: L4 REF: 1-3 Measuring SegmentsOBJ: 1-3.1 To find and compare lengths of segments NAT: CC G.CO.1| CC G.GPE.6| G.3.bTOP: 1-3 Problem 2 Using the Segment Addition Postulate KEY: coordinate | distance | partition segment in a given ratio

ID: A

2

12. ANS: B PTS: 1 DIF: L3 REF: 1-3 Measuring SegmentsOBJ: 1-3.1 To find and compare lengths of segments NAT: CC G.CO.1| CC G.GPE.6| G.3.bTOP: 1-3 Problem 3 Comparing Segment Lengths KEY: congruent segments

13. ANS: C PTS: 1 DIF: L3 REF: 1-3 Measuring SegmentsOBJ: 1-3.1 To find and compare lengths of segments NAT: CC G.CO.1| CC G.GPE.6| G.3.bTOP: 1-3 Problem 4 Using the Midpoint KEY: midpoint

14. ANS: B PTS: 1 DIF: L3 REF: 1-4 Measuring AnglesOBJ: 1-4.1 To find and compare the measures of angles NAT: CC G.CO.1| M.1.d| G.3.bTOP: 1-4 Problem 4 Using the Angle Addition Postulate KEY: Angle Addition Postulate

15. ANS: D PTS: 1 DIF: L3 REF: 1-4 Measuring AnglesOBJ: 1-4.1 To find and compare the measures of angles NAT: CC G.CO.1| M.1.d| G.3.bTOP: 1-4 Problem 4 Using the Angle Addition Postulate KEY: Angle Addition Postulate

16. ANS: A PTS: 1 DIF: L3 REF: 1-4 Measuring AnglesOBJ: 1-4.1 To find and compare the measures of angles NAT: CC G.CO.1| M.1.d| G.3.bTOP: 1-4 Problem 4 Using the Angle Addition Postulate KEY: Angle Addition Postulate

17. ANS: A PTS: 1 DIF: L2 REF: 1-5 Exploring Angle PairsOBJ: 1-5.1 To identify special angle pairs and use their relationships to find angle measuresNAT: CC G.CO.1| M.1.d| G.3.b TOP: 1-5 Problem 1 Identifying Angle PairsKEY: supplementary angles

18. ANS: D PTS: 1 DIF: L3 REF: 1-5 Exploring Angle PairsOBJ: 1-5.1 To identify special angle pairs and use their relationships to find angle measuresNAT: CC G.CO.1| M.1.d| G.3.b TOP: 1-5 Problem 1 Identifying Angle PairsKEY: complementary angles

19. ANS: B PTS: 1 DIF: L3 REF: 1-5 Exploring Angle PairsOBJ: 1-5.1 To identify special angle pairs and use their relationships to find angle measuresNAT: CC G.CO.1| M.1.d| G.3.b TOP: 1-5 Problem 1 Identifying Angle PairsKEY: vertical angles

20. ANS: A PTS: 1 DIF: L2 REF: 1-5 Exploring Angle PairsOBJ: 1-5.1 To identify special angle pairs and use their relationships to find angle measuresNAT: CC G.CO.1| M.1.d| G.3.b TOP: 1-5 Problem 3 Finding Missing Angle MeasuresKEY: complementary angles

21. ANS: B PTS: 1 DIF: L3 REF: 1-5 Exploring Angle PairsOBJ: 1-5.1 To identify special angle pairs and use their relationships to find angle measuresNAT: CC G.CO.1| M.1.d| G.3.b TOP: 1-5 Problem 3 Finding Missing Angle MeasuresKEY: supplementary angles| linear pair

22. ANS: A PTS: 1 DIF: L3 REF: 1-5 Exploring Angle PairsOBJ: 1-5.1 To identify special angle pairs and use their relationships to find angle measuresNAT: CC G.CO.1| M.1.d| G.3.b TOP: 1-5 Problem 3 Finding Missing Angle MeasuresKEY: linear pair | supplementary angles

23. ANS: C PTS: 1 DIF: L3 REF: 1-5 Exploring Angle PairsOBJ: 1-5.1 To identify special angle pairs and use their relationships to find angle measuresNAT: CC G.CO.1| M.1.d| G.3.b TOP: 1-5 Problem 4 Using an Angle Bisector to Find Angle Measures KEY: angle bisector

ID: A

3

24. ANS: C PTS: 1 DIF: L3 REF: 1-7 Midpoint and Distance in the Coordinate Plane OBJ: 1-7.1 To find the midpoint of a segment NAT: CC G.GPE.6| CC G.GPE.4| CC G.GPE.7| G.3.b| G.4.a TOP: 1-7 Problem 1 Finding the MidpointKEY: segment length | segment | midpoint

25. ANS: D PTS: 1 DIF: L2 REF: 1-7 Midpoint and Distance in the Coordinate Plane OBJ: 1-7.1 To find the midpoint of a segment NAT: CC G.GPE.6| CC G.GPE.4| CC G.GPE.7| G.3.b| G.4.a TOP: 1-7 Problem 1 Finding the MidpointKEY: coordinate plane | Midpoint Formula

26. ANS: B PTS: 1 DIF: L3 REF: 1-7 Midpoint and Distance in the Coordinate Plane OBJ: 1-7.1 To find the midpoint of a segment NAT: CC G.GPE.6| CC G.GPE.4| CC G.GPE.7| G.3.b| G.4.a TOP: 1-7 Problem 2 Finding an EndpointKEY: coordinate plane | Midpoint Formula

27. ANS: B PTS: 1 DIF: L3 REF: 1-7 Midpoint and Distance in the Coordinate Plane OBJ: 1-7.2 To find the distance between two points in the coordinate planeNAT: CC G.GPE.6| CC G.GPE.4| CC G.GPE.7| G.3.b| G.4.a TOP: 1-7 Problem 3 Finding DistanceKEY: Distance Formula | coordinate plane

28. ANS: C PTS: 1 DIF: L3 REF: 1-7 Midpoint and Distance in the Coordinate Plane OBJ: 1-7.2 To find the distance between two points in the coordinate planeNAT: CC G.GPE.6| CC G.GPE.4| CC G.GPE.7| G.3.b| G.4.a TOP: 1-7 Problem 4 Finding DistanceKEY: coordinate plane | Distance Formula | word problem | problem solving

29. ANS: C PTS: 1 DIF: L3 REF: 1-7 Midpoint and Distance in the Coordinate Plane OBJ: 1-7.2 To find the distance between two points in the coordinate planeNAT: CC G.GPE.6| CC G.GPE.4| CC G.GPE.7| G.3.b| G.4.a TOP: 1-7 Problem 4 Finding DistanceKEY: Distance Formula | coordinate plane | word problem | problem solving | midpoint

30. ANS: C PTS: 1 DIF: L3 REF: 1-8 Perimeter, Circumference, and Area OBJ: 1-8.1 To find the perimeter or circumference of basic shapes NAT: CC N.Q.1| M.1.c| M.1.f| M.2.a| G.3.b| A.4.e TOP: 1-8 Problem 1 Finding the Perimeter of a Rectangle KEY: perimeter | problem solving | word problem

31. ANS: D PTS: 1 DIF: L3 REF: 1-8 Perimeter, Circumference, and Area OBJ: 1-8.1 To find the perimeter or circumference of basic shapes NAT: CC N.Q.1| M.1.c| M.1.f| M.2.a| G.3.b| A.4.e TOP: 1-8 Problem 2 Finding Circumference KEY: circle | circumference

32. ANS: A PTS: 1 DIF: L3 REF: 1-8 Perimeter, Circumference, and Area OBJ: 1-8.2 To find the area of basic shapes NAT: CC N.Q.1| M.1.c| M.1.f| M.2.a| G.3.b| A.4.e TOP: 1-8 Problem 4 Finding Area of a Rectangle KEY: area | square

ID: A

4

33. ANS: B PTS: 1 DIF: L2 REF: 1-8 Perimeter, Circumference, and Area OBJ: 1-8.2 To find the area of basic shapes NAT: CC N.Q.1| M.1.c| M.1.f| M.2.a| G.3.b| A.4.e TOP: 1-8 Problem 4 Finding Area of a Rectangle KEY: area | rectangle

34. ANS: D PTS: 1 DIF: L2 REF: 1-8 Perimeter, Circumference, and Area OBJ: 1-8.2 To find the area of basic shapes NAT: CC N.Q.1| M.1.c| M.1.f| M.2.a| G.3.b| A.4.e TOP: 1-8 Problem 5 Finding Area of a Circle KEY: area | circle

35. ANS: B PTS: 1 DIF: L2 REF: 1-8 Perimeter, Circumference, and Area OBJ: 1-8.2 To find the area of basic shapes NAT: CC N.Q.1| M.1.c| M.1.f| M.2.a| G.3.b| A.4.e TOP: 1-8 Problem 6 Finding Area of an Irregular Shape KEY: rectangle | area