Unit Test — Cumulative exam Answers

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A
congruence
B
symmetric
C
reflexive
D
transitive
22
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Which distance measures 5 units?

Question illustration
A
the distance between points W and X
B
the distance between points X and Y
C
the distance between points X and Z
D
the distance between points Y and Z
23

Triangle ABC has the angle measures shown.

Question illustration
A
Measure of angle A = 20 degrees
Option A
B
Measure of angle B = 60 degrees
Option B
C
are complementary
Option C
D
Measure of angle A + measure of angle C = 100 degrees
Option D
24

Consider the triangle.

Question illustration
A
Each side has a different length.
B
Two sides have the same length, which is less than the length of the third side.
C
The three sides have the same length.
D
The sum of the lengths of two sides is equal to the length of the third side.
25

Given that D is the midpoint of AB and B is the midpoint of AC, which statement must be true?

Question illustration
A
AD = AC
Option A
B
AC = 4DB
C
AB + DC = AC
D
BK = KC
26

Triangle ABC was reflected over line m, then dilated by a scale factor between 0 and 1. Which diagram illustrates these transformations?

A
Triangle A B C is reflected across line m and then is dilated to form smaller triangle A double-prime B double-prime C double-prime
Option A
B
Triangle A B C is rotated about line m and then dilated to form smaller triangle A double-prime B double-prime C double-prime
Option B
C
Triangle A B C is reflected across line m and then is dilated to form larger triangle A double-prime B double-prime C double-prime
Option C
D
Triangle A B C is rotated about line m and then dilated to form larger triangle A double-prime B double-prime C double-prime
Option D
27

Rectangle ABCD was dilated to create rectangle A'B'C'D.

Question illustration
A
6 units
B
7.6 units
C
9.5 units
D
12 units
28

On a coordinate plane, a square has points A (negative 5, 2), B (1, 2), C (negative 4, 1), and D (negative 5, negative 4).

Question illustration
A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
29

Which quadrilateral will always have 4-fold reflectional symmetry?

A
trapezoid
B
rhombus
C
square
D
rectangle
30

Triangle A B C is cut by line segment S T. Line segment S T goes from side A B to side C B. Lines S T and A C are parallel. The length of S B is 10 feet, the length of B T is 9 feet, and the length of C T is 2.7 feet.

Question illustration
A
1.89 ft
B
2.43 ft
C
3 ft
D
7 ft
31

On a coordinate plane, 2 triangles are shown. Triangle 1 has points at A (negative 3, 4), B (negative 2, 1), C (negative 4, 1). Triangle 2 has points at A prime (4, negative 2), B prime (3, negative 5), C prime (5, negative 5).

Question illustration
A
(x, y) → (x + 7, y + 6)
B
(x, y) → (x + 7, y – 6)
C
(x, y) → (x – 6, y + 7)
D
(x, y) → (x + 6, y + 7)
32

Which statements about the diagram are true? Select three options.

A
x = 63
B
y = 47
C
z = 117
D
x + y = 180
E
x + z = 180
33

The triangles are congruent by the SSS congruence theorem.

Question illustration
A
reflection, then rotation
B
reflection, then translation
C
rotation, then translation
D
rotation, then dilation
34

The proof that ΔABC ≅ ΔCDA is shown.Given: ∥ and ∥ Prove: ΔABC ≅ ΔCDA

Question illustration
A
perpendicular bisector theorem
B
Pythagorean theorem
C
HL theorem
D
SSS congruence theorem
35

Triangle JKL is transformed to create triangle J'K'L'. The angles in both triangles are shown.J = 90° J' = 90°K = 65° K' = 65°L = 25° L' = 25°

Question illustration
A
It is a rigid transformation because the pre-image and image have the same corresponding angle measures.
B
It is not a rigid transformation because the corresponding side lengths are not equal.
C
It can be a rigid or a nonrigid transformation depending on whether the corresponding side lengths have the same measures.
D
It can be a rigid or a nonrigid transformation because a pair of corresponding angles measures 90°.
36

A regular polygon has possible angles of rotational symmetry of 20°, 40°, and 80°. How many sides does the polygon have?

A
10
B
12
C
18
D
20
37

Which figures are shown in the diagram? Select three options.

A
line CD
B
point D
C
ray CD
D
ray DC
E
segment CD
38

Figure RHOM is a rhombus. and are the diagonals of the rhombus, as well as angle bisectors of the vertex angles, and they create four isosceles triangles: HOM, MHR, RHO, and OMR.

Question illustration
A
It must be acute.
B
It must be a right angle.
C
It must be equal to MRH.
Option C
D
It must be equal to RMS.
Option D
39

Triangle A C F is shown. Lines are drawn from each point to the opposite side and intersect at point D. Line segments A E, F B, and C G are formed. The length of line segment A D is 12 and the length of line segment D E is 4.

Question illustration
A
Yes, point D is the point of intersection of segments drawn from all three vertices.
B
Yes, DE is three-quarters of the length of the full segment.
C
No, DE should be longer than AD.
D
No, the ratio between AD and DE is 3:1.
40

Pentagon ABCDE is dilated according to the ruleDO,3(x,y) to create the image pentagon A'B'C'D'E', which is shown on the graph.

Question illustration
A
(-1, 1)
B
(-1, 2)
C
(-9, 6)
D
(-9, 18)

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