Name: ________________________ Class: ___________________ Date: __________
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
2. Are points C, G, and H collinear or noncollinear?
A. noncollinear ____
D. line P and plane PQS
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.
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ID: A
Name: ________________________ ____
ID: A
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
2
D.
AD
Name: ________________________ ____
ID: A
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 ____
ST
C. YZ
D. TX
B. 16
C. 15
D. 3
B.
9. What is the length of AC ?
A. 13
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Name: ________________________
ID: A
____ 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
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Name: ________________________
ID: A
____ 14. If mAOC 85, mBOC 2x 10, and mAOB 4x 15, find the degree measure of BOC and AOB. 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
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D. 76
Name: ________________________
ID: A
____ 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
C. HGI
D. HGJ
____ 19. Name an angle vertical to EGH.
A. EGF
B. IGF
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Name: ________________________
ID: A
____ 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
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Name: ________________________
ID: A
____ 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.) 3 5 5 A. , , 21.5 miles C. 5, , 43 miles 2 2 2 B.
5 D. 5, , 5 miles 2
3 5 , , 215 miles 2 2
____ 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 ft 2 C. 10 ft 2
D. 30 yd 2
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Name: ________________________
ID: A
____ 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 B.
A (13 4) (12 6)
C. A (13 6) (12 4) D. A 12 13 (12 4) (13 6)
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ID: A
Chapter 1 Review Answer Section 1. ANS: OBJ: NAT: KEY: 2. ANS: OBJ: NAT: KEY: 3. ANS: OBJ: NAT: KEY: 4. ANS: OBJ: NAT: KEY: 5. ANS: OBJ: NAT: KEY: 6. ANS: OBJ: NAT: KEY: 7. ANS: OBJ: NAT: KEY: 8. ANS: OBJ: NAT: KEY: 9. ANS: OBJ: TOP: 10. ANS: OBJ: TOP: 11. ANS: OBJ: TOP: KEY:
B PTS: 1 DIF: L3 REF: 1-2 Points, Lines, and Planes 1-2.1 To understand basic terms and postulates of geometry CC G.CO.1| G.3.b| G.4.b TOP: 1-2 Problem 1 Naming Points, Lines, and Planes line | plane A PTS: 1 DIF: L3 REF: 1-2 Points, Lines, and Planes 1-2.1 To understand basic terms and postulates of geometry CC G.CO.1| G.3.b| G.4.b TOP: 1-2 Problem 1 Naming Points, Lines, and Planes point | collinear points C PTS: 1 DIF: L2 REF: 1-2 Points, Lines, and Planes 1-2.1 To understand basic terms and postulates of geometry CC G.CO.1| G.3.b| G.4.b TOP: 1-2 Problem 1 Naming Points, Lines, and Planes point | line | collinear points A PTS: 1 DIF: L4 REF: 1-2 Points, Lines, and Planes 1-2.1 To understand basic terms and postulates of geometry CC G.CO.1| G.3.b| G.4.b TOP: 1-2 Problem 1 Naming Points, Lines, and Planes plane | point C PTS: 1 DIF: L2 REF: 1-2 Points, Lines, and Planes 1-2.1 To understand basic terms and postulates of geometry CC G.CO.1| G.3.b| G.4.b TOP: 1-2 Problem 2 Naming Segments and Rays ray | opposite rays C PTS: 1 DIF: L3 REF: 1-2 Points, Lines, and Planes 1-2.1 To understand basic terms and postulates of geometry CC G.CO.1| G.3.b| G.4.b TOP: 1-2 Problem 2 Naming Segments and Rays segment C PTS: 1 DIF: L4 REF: 1-2 Points, Lines, and Planes 1-2.1 To understand basic terms and postulates of geometry CC G.CO.1| G.3.b| G.4.b TOP: 1-2 Problem 3 Finding the Intersection of Two Planes plane | intersection B PTS: 1 DIF: L3 REF: 1-2 Points, Lines, and Planes 1-2.1 To understand basic terms and postulates of geometry CC G.CO.1| G.3.b| G.4.b TOP: 1-2 Problem 3 Finding the Intersection of Two Planes plane | intersection A PTS: 1 DIF: L2 REF: 1-3 Measuring Segments 1-3.1 To find and compare lengths of segments NAT: CC G.CO.1| CC G.GPE.6| G.3.b 1-3 Problem 1 Measuring Segment Lengths KEY: coordinate | distance A PTS: 1 DIF: L4 REF: 1-3 Measuring Segments 1-3.1 To find and compare lengths of segments NAT: CC G.CO.1| CC G.GPE.6| G.3.b 1-3 Problem 2 Using the Segment Addition Postulate KEY: coordinate | distance C PTS: 1 DIF: L4 REF: 1-3 Measuring Segments 1-3.1 To find and compare lengths of segments NAT: CC G.CO.1| CC G.GPE.6| G.3.b 1-3 Problem 2 Using the Segment Addition Postulate coordinate | distance | partition segment in a given ratio
1
ID: A 12. ANS: OBJ: TOP: 13. ANS: OBJ: TOP: 14. ANS: OBJ: TOP: 15. ANS: OBJ: TOP: 16. ANS: OBJ: TOP: 17. ANS: OBJ: NAT: KEY: 18. ANS: OBJ: NAT: KEY: 19. ANS: OBJ: NAT: KEY: 20. ANS: OBJ: NAT: KEY: 21. ANS: OBJ: NAT: KEY: 22. ANS: OBJ: NAT: KEY: 23. ANS: OBJ: NAT: TOP: KEY:
B PTS: 1 DIF: L3 REF: 1-3 Measuring Segments 1-3.1 To find and compare lengths of segments NAT: CC G.CO.1| CC G.GPE.6| G.3.b 1-3 Problem 3 Comparing Segment Lengths KEY: congruent segments C PTS: 1 DIF: L3 REF: 1-3 Measuring Segments 1-3.1 To find and compare lengths of segments NAT: CC G.CO.1| CC G.GPE.6| G.3.b 1-3 Problem 4 Using the Midpoint KEY: midpoint B PTS: 1 DIF: L3 REF: 1-4 Measuring Angles 1-4.1 To find and compare the measures of angles NAT: CC G.CO.1| M.1.d| G.3.b 1-4 Problem 4 Using the Angle Addition Postulate KEY: Angle Addition Postulate D PTS: 1 DIF: L3 REF: 1-4 Measuring Angles 1-4.1 To find and compare the measures of angles NAT: CC G.CO.1| M.1.d| G.3.b 1-4 Problem 4 Using the Angle Addition Postulate KEY: Angle Addition Postulate A PTS: 1 DIF: L3 REF: 1-4 Measuring Angles 1-4.1 To find and compare the measures of angles NAT: CC G.CO.1| M.1.d| G.3.b 1-4 Problem 4 Using the Angle Addition Postulate KEY: Angle Addition Postulate A PTS: 1 DIF: L2 REF: 1-5 Exploring Angle Pairs 1-5.1 To identify special angle pairs and use their relationships to find angle measures CC G.CO.1| M.1.d| G.3.b TOP: 1-5 Problem 1 Identifying Angle Pairs supplementary angles D PTS: 1 DIF: L3 REF: 1-5 Exploring Angle Pairs 1-5.1 To identify special angle pairs and use their relationships to find angle measures CC G.CO.1| M.1.d| G.3.b TOP: 1-5 Problem 1 Identifying Angle Pairs complementary angles B PTS: 1 DIF: L3 REF: 1-5 Exploring Angle Pairs 1-5.1 To identify special angle pairs and use their relationships to find angle measures CC G.CO.1| M.1.d| G.3.b TOP: 1-5 Problem 1 Identifying Angle Pairs vertical angles A PTS: 1 DIF: L2 REF: 1-5 Exploring Angle Pairs 1-5.1 To identify special angle pairs and use their relationships to find angle measures CC G.CO.1| M.1.d| G.3.b TOP: 1-5 Problem 3 Finding Missing Angle Measures complementary angles B PTS: 1 DIF: L3 REF: 1-5 Exploring Angle Pairs 1-5.1 To identify special angle pairs and use their relationships to find angle measures CC G.CO.1| M.1.d| G.3.b TOP: 1-5 Problem 3 Finding Missing Angle Measures supplementary angles| linear pair A PTS: 1 DIF: L3 REF: 1-5 Exploring Angle Pairs 1-5.1 To identify special angle pairs and use their relationships to find angle measures CC G.CO.1| M.1.d| G.3.b TOP: 1-5 Problem 3 Finding Missing Angle Measures linear pair | supplementary angles C PTS: 1 DIF: L3 REF: 1-5 Exploring Angle Pairs 1-5.1 To identify special angle pairs and use their relationships to find angle measures CC G.CO.1| M.1.d| G.3.b 1-5 Problem 4 Using an Angle Bisector to Find Angle Measures angle bisector
2
ID: A 24. ANS: REF: OBJ: NAT: KEY: 25. ANS: REF: OBJ: NAT: KEY: 26. ANS: REF: OBJ: NAT: KEY: 27. ANS: REF: OBJ: NAT: KEY: 28. ANS: REF: OBJ: NAT: KEY: 29. ANS: REF: OBJ: NAT: KEY: 30. ANS: REF: OBJ: NAT: TOP: KEY: 31. ANS: REF: OBJ: NAT: TOP: 32. ANS: REF: OBJ: NAT: TOP:
C PTS: 1 DIF: L3 1-7 Midpoint and Distance in the Coordinate Plane 1-7.1 To find the midpoint of a segment 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 Midpoint segment length | segment | midpoint D PTS: 1 DIF: L2 1-7 Midpoint and Distance in the Coordinate Plane 1-7.1 To find the midpoint of a segment 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 Midpoint coordinate plane | Midpoint Formula B PTS: 1 DIF: L3 1-7 Midpoint and Distance in the Coordinate Plane 1-7.1 To find the midpoint of a segment 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 Endpoint coordinate plane | Midpoint Formula B PTS: 1 DIF: L3 1-7 Midpoint and Distance in the Coordinate Plane 1-7.2 To find the distance between two points in the coordinate plane CC G.GPE.6| CC G.GPE.4| CC G.GPE.7| G.3.b| G.4.a TOP: 1-7 Problem 3 Finding Distance Distance Formula | coordinate plane C PTS: 1 DIF: L3 1-7 Midpoint and Distance in the Coordinate Plane 1-7.2 To find the distance between two points in the coordinate plane CC G.GPE.6| CC G.GPE.4| CC G.GPE.7| G.3.b| G.4.a TOP: 1-7 Problem 4 Finding Distance coordinate plane | Distance Formula | word problem | problem solving C PTS: 1 DIF: L3 1-7 Midpoint and Distance in the Coordinate Plane 1-7.2 To find the distance between two points in the coordinate plane CC G.GPE.6| CC G.GPE.4| CC G.GPE.7| G.3.b| G.4.a TOP: 1-7 Problem 4 Finding Distance Distance Formula | coordinate plane | word problem | problem solving | midpoint C PTS: 1 DIF: L3 1-8 Perimeter, Circumference, and Area 1-8.1 To find the perimeter or circumference of basic shapes CC N.Q.1| M.1.c| M.1.f| M.2.a| G.3.b| A.4.e 1-8 Problem 1 Finding the Perimeter of a Rectangle perimeter | problem solving | word problem D PTS: 1 DIF: L3 1-8 Perimeter, Circumference, and Area 1-8.1 To find the perimeter or circumference of basic shapes CC N.Q.1| M.1.c| M.1.f| M.2.a| G.3.b| A.4.e 1-8 Problem 2 Finding Circumference KEY: circle | circumference A PTS: 1 DIF: L3 1-8 Perimeter, Circumference, and Area 1-8.2 To find the area of basic shapes CC N.Q.1| M.1.c| M.1.f| M.2.a| G.3.b| A.4.e 1-8 Problem 4 Finding Area of a Rectangle KEY: area | square
3
ID: A 33. ANS: REF: OBJ: NAT: TOP: 34. ANS: REF: OBJ: NAT: TOP: 35. ANS: REF: OBJ: NAT: TOP:
B PTS: 1 DIF: L2 1-8 Perimeter, Circumference, and Area 1-8.2 To find the area of basic shapes CC N.Q.1| M.1.c| M.1.f| M.2.a| G.3.b| A.4.e 1-8 Problem 4 Finding Area of a Rectangle D PTS: 1 DIF: L2 1-8 Perimeter, Circumference, and Area 1-8.2 To find the area of basic shapes CC N.Q.1| M.1.c| M.1.f| M.2.a| G.3.b| A.4.e 1-8 Problem 5 Finding Area of a Circle B PTS: 1 DIF: L2 1-8 Perimeter, Circumference, and Area 1-8.2 To find the area of basic shapes CC N.Q.1| M.1.c| M.1.f| M.2.a| G.3.b| A.4.e 1-8 Problem 6 Finding Area of an Irregular Shape
4
KEY: area | rectangle
KEY: area | circle
KEY: rectangle | area
