AnswersAZ-Common Core Geometry AIntroduction to Transformations

Introduction to Transformations — Unit test Answers

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21
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[Figure may not be drawn to scale]

Question illustration
A
25 units
B
50 units
C
100 units
D
150 units
22
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A line extends from a side of a triangle.

Question illustration
A
a remote interior angle
B
an adjacent interior angle
C
an exterior angle
D
a complementary angle
23

Equilateral triangle ABC has a perimeter of 96 millimeters. A perpendicular bisector is drawn from angle A to side at point M.What is the length of ?

Question illustration
A
16 mm
B
24 mm
C
32 mm
D
48 mm
24

Triangles A B C and D E F are shown. Triangle A B C is rotated to the left about point A and then is shifted up and to the right to form triangle D E F.

Question illustration
A
Translate vertex A to vertex D, and then reflect △ABC across the line containing AC.
B
Translate vertex B to vertex D, and then rotate △ABC around point B to align the sides and angles.
C
Translate vertex B to vertex D, and then reflect △ABC across the line containing AC.
D
Translate vertex A to vertex D, and then rotate △ABC around point A to align the sides and angles.
25

The base angle of an isosceles triangle measures 54°. What is the measure of its vertex angle?

A
27°
B
36°
C
54°
D
72°
26

Lines P S and W T are horizontal and parallel. Lines V R and Q R are diagonal and intersect lines P S and W T to form triangle X Y Z.

Question illustration
A
∠RXZ and ∠YXZ
B
∠PXQ and ∠RXS
C
∠YZX and ∠UZT
D
∠WZX and ∠XYZ
27

Which diagram shows possible angle measures of a triangle?

A
A triangle has angle lengths 35 degrees, 115 degrees, and 25 degrees.
Option A
B
A triangle has angle lengths 32 degrees, 115 degrees, and 33 degrees.
Option B
C
A triangle has angle lengths 35 degrees, 120 degrees, and 35 degrees.
Option C
D
a triangle has angle lengths 30 degrees, 120 degrees, and 20 degrees.
Option D
28

Triangles A B C and N M Q are shown. Sides B C and N M are congruent. Angles A B C and Q N M are congruent. Angles B C A and N M Q are both right angles.

Question illustration
A
A ≅ Q because of the third angle theorem.
Option A
B
AB ≅ QN because they are both opposite a right angle.
C
BC ≅ NM because it is given.
D
C ≅ M because right angles are congruent.
Option D
29

Consider the diagram.

Question illustration
A
SSS.
B
ASA.
C
SAS.
D
HL.
30

In the triangles, and .

Question illustration
A
mC = mS
Option A
B
mC < mS
Option B
C
mC > mS
Option C
D
mC ≥ mS
Option D
31

Which type of triangle will always have a perpendicular bisector that is also an angle bisector?

A
right
B
scalene
C
obtuse
D
equilateral
32

In the triangles, HG = MP and GK = PN.

Question illustration
A
mG > mP
Option A
B
mP > mG
Option B
C
HK = MN
D
HG = PN
33

Triangles A B C and A B F are congruent. Triangle A B C is reflected across line B A to form triangle A B F.

Question illustration
A
a rotation about point A
B
a reflection across the line containing CB
C
a reflection across the line containing BA
D
a rotation about point B
34

Consider the triangle shown.

Question illustration
A
Line segment P Q, line segment R Q, line segment R P
Option A
B
Line segment R Q, Line segment P Q, line segment P Q
Option B
C
Line segment R Q, line segment R P, line segment P Q
Option C
D
Line segment R P, line segment P Q, line segment R Q
Option D
35

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 = 120 degrees
Option D
36

Which congruence theorem can be used to prove △BDA ≅ △DBC?

Question illustration
A
HL
B
SAS
C
AAS
D
SSS

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