AnswersCMS 2026-2027 Foundations of Math 3 INITIAL CREDITIntroduction to Geometry

Introduction to Geometry — Test Answers

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

A
5 units
B
4 units
C
6 units
D
3 units
2
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Which rays are part of line BE ?

A
over right arrow AC and over right arrow AE
B
over right arrow AB and over right arrow AE
C
over right arrow AB and over right arrow AF
D
over right arrow AC and over right arrow AB
3

Which reason justifies the statement that angle KLC is complementary to angle KJC ?

A
Angles that are congruent are supplementary to the same angle.
B
All angles in a rectangle are right angles.
C
Complementary angles are always also congruent.
D
Angles that are congruent are complementary to the same angle.
4

What is the distance between points cap A and cap b ? Open image in full-screen view

A
5 units
B
negative 1 units
C
6 units
D
negative 6 units
5

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
9 units
C
1 unit
D
2 units
6

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

A
line
B
plane
C
sphere
D
distance
7

Which figures can be precisely defined by using only undefined terms? Choose three correct answers.

A
arc
B
circle
C
parallel lines
D
line segment
E
angle
8

Two lines intersecting at a right angle

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

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

A
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.
B
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.
C
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.
D
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.
10

Which is the endpoint of a ray?

A
point cap t
B
point cap u
C
point cap r
D
point cap s
11

Ray CE is the angle bisector of angle ACD Which statement about the figure must be true?

A
measure of angle ECD is equal to 1 half measure of angle ECB
B
measure of angle ACE is equal to 1 half measure of angle ACD
C
angle ECD is congruent to angle ACD
D
angle ACE is congruent to angle DCB
12

Which is the line shown in the figure?

A
line XY
B
line XZ
C
line WZ
D
line WX
13

What is the missing reason in step 3?

A
angle addition postulate
B
addition property of equality
C
substitution property of equality
D
subtraction property of equality
14

What is the measure of angle TSU ?

A
25 degrees
B
65 degrees
C
75 degrees
D
45 degrees
15

Which statement is true about line h ?

A
Line h is the intersection of planes cap r and cap t .
B
Line h intersects plane cap p at point cap c .
C
Line h has points on planes cap r , cap p , and cap t .
D
Line h intersects line f at two points, cap A and cap b .
16

If cap l cap n is equal to 12 x plus 16 , what is the length of line segment cap l cap n in units?

A
40 units
B
48 units
C
64 units
D
16 units
17

Which statements are true about the figure? Choose two correct answers.

A
angle MNG is complementary to angle GNJ .
B
angle GNM is supplementary to angle JNK .
C
angle KNJ is supplementary to angle MNL .
D
angle GNJ is complementary to angle JNK .
E
angle MNL is complementary to angle KNL .
18

What is the value of x ?

A
68
B
56
C
79
D
34
19

m angle VSR is equal to [Blank 1] °

Answer:

80

20

What is the measure of angle cap p cap s cap q in degrees?

A
24 degrees
B
45 degrees
C
9 degrees
D
54 degrees

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