Download Chapter 1 Review

Name: ________________________ Class: ___________________ Date: __________
Chapter 1 Review
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1. Name the line and plane shown in the diagram.
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A. QP and plane SR
C. PQ and plane SP
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B.
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PQ and plane PQS
2. Are points C, G, and H collinear or noncollinear?
A. noncollinear
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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: ________________________
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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
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5. What is the name of the ray that is opposite BD ?
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A. BD
B.
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CD
C. BA
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D.
AD
Name: ________________________
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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 .
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7. Name the intersection of plane ACG and plane BCG.
A.
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AC
C. CG
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B.
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BG
D. The planes need not intersect.
8. What is the intersection of plane STXW and plane SVUT?
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A. SV
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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 mAOC  85, mBOC  2x  10, and mAOB  4x  15, find the degree measure of BOC and AOB.
The diagram is not to scale.
A. mBOC  30; mAOB  55
C. mBOC  45; mAOB  40
B. mBOC  40; mAOB  45
D. mBOC  55; mAOB  30
____ 15. If mDEF  119, then what are mFEG and mHEG? The diagram is not to scale.
A. mFEG  71, mHEG  119
C. mFEG  61, mHEG  129
B. mFEG  119, mHEG  61
D. mFEG  61, mHEG  119
____ 16. If mEOF  26 and mFOG  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. m1  x  15, and m2  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 mA  4mB, find mA and mB.
A. 144, 36
B. 36, 144
C. 72, 18
D. 18, 72
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____ 23. MO bisects LMN, mLMO  6x  20, and mNMO  2x  36. Solve for x and find mLMN. The
diagram is not to scale.
A. x = 13, mLMN  116
C. x = 14, mLMN  128
B. x = 13, mLMN  58
D. x = 14, mLMN  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
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B.
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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