AnswersGeometry Concepts and ConnectionsGeometric Foundations, Construction and Proofs: Part One

Geometric Foundations, Construction and Proofs: Part One — Test Answers

25 verified answers
1
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Lines AC and RS can best be described as

A
perpendicular.
B
parallel.
C
skew.
D
intersecting.
2
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The measure of one angle is 130 degrees Which statement is true regarding the 130 degrees angle and angle 3 ?

A
They are same-side interior angles, so angle 3 measures 50 degrees .
B
They are alternate interior angles, so angle 3 also measures 130 degrees .
C
They are alternate exterior angles, so angle 3 measures 50 degrees .
D
They are corresponding angles, so angle 3 also measures 130 degrees .
3

Based on the given information, what is AE ?

A
7 units
B
17 units
C
2 units
D
12 units
4

Question text not available

Answer:

80

5

Which undefined geometric term is described as an infinite set of points that has length but not width?

A
distance
B
sphere
C
line
D
plane
6

Line segment AB measures 18 units. Open image in full-screen view What is d , the distance between tick marks on the number line?

A
3 units
B
2 units
C
9 units
D
1 unit
7

In which diagram do angles 1 and 2 form a linear pair?

A
Image with description A ray extends upward and to the right from a point on a horizontal line. Angle 1 is between the left side of the horizontal line and the ray. Angle 2 is between the ray and the right side of the horizontal line.
B
Image with description Two lines intersect at a point, forming four angles. Angle 1 is on the left side of the intersection, and angle 2 is on the right side of the intersection.
C
Image with description Three rays extend from the same point. One ray extends horizontally to the left, one extends vertically downward, and one extends diagonally downward to the left. A right-angle marker is shown between the horizontal and vertical rays. Angle 1 is between the horizontal ray and the diagonal ray. Angle 2 is between the diagonal ray and the vertical ray.
D
Image with description A horizontal line passes through a point. Two rays extend upward from the point, one to the upper left and one to the upper right. Angle 1 is between the left side of the horizontal line and the upper-left ray. Angle 2 is between the two upward rays. Angle 3 is between the upper-right ray and the right side of the horizontal line.
8

Two lines intersecting at a right angle

A
form a line.
B
are parallel.
C
are perpendicular.
D
form a ray.
9

If m angle 1 is equal to 110 degrees , what is m angle 4 ?

A
130 degrees
B
20 degrees
C
70 degrees
D
110 degrees
10

Based on this information, which pair of lines, together, could be perpendicular to line segment RS ? Choose two correct answers.

A
over left right arrow EF
B
over left right arrow ER
C
over left right arrow EA
D
over left right arrow FS
E
over left right arrow FG
11

What is the missing reason in the proof?

A
definition of congruent angles
B
transitive property
C
definition of angle bisector
D
segment addition property
12

If FG is equal to 2 units, FI is equal to 7 units, and HI is equal to 1 unit, what is GH ?

A
6 units
B
3 units
C
5 units
D
4 units
13

Given that over right arrow EB bisects angle CEA , which statements must be true? Choose three correct answers.

A
angle AEF is a right angle.
B
angle CEF is a straight angle.
C
m angle CEF is equal to m angle CEA plus m angle BEF
D
m angle CEB is equal to 2 times open paren m angle CEA close paren
E
m angle CEA is equal to 90 degrees
14

Which is the line shown in the figure?

A
line WX
B
line WZ
C
line XY
D
line XZ
15

If A is parallel to b and e is parallel to f , what is the value of y ?

A
92
B
88
C
87
D
91
16

Which statement is true about line h ?

A
Line h intersects line f at two points, cap A and cap b .
B
Line h has points on planes cap r , cap p , and cap t .
C
Line h is the intersection of planes cap r and cap t .
D
Line h intersects plane cap p at point cap c .
17

What is the value of d ?

A
d is equal to 75
B
d is equal to 125
C
d is equal to 155
D
d is equal to 55
18

What is the length of segment QV ?

A
44 units
B
36 units
C
32 units
D
40 units
19

Question text not available

Answer:

angle addition postulate

20

What is the length of segment VS ?

A
11 units
B
15 units
C
3 units
D
13 units

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