AnswersAZ-Common Core Geometry AIntroduction to Transformations

Introduction to Transformations — Unit test Answers

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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
3

[Figure may not be drawn to scale]

Question illustration
A
25 units
B
50 units
C
100 units
D
150 units
4

Triangle A B C is shown. Lines are drawn from each point to to the opposite side and intersect at point G. Line segments A D, B E, and C F are created.

Question illustration
A
Point G cannot be the centroid because 18:6 does not equal 2:1.
B
Point G cannot be the centroid because FG should be longer than CG.
C
Point G can be the centroid because 12:6 equals 2:1.
D
Point G can be the centroid because FC is longer than FG.
5

Triangle J K L is shown. Lines are drawn from each point to the opposite side and intersect at point P. Line segments J O, K M, and L N are created.

Question illustration
A
LN ⊥ JK, JO ⊥ LK, and JL ⊥ MK.
B
JL = LK = KJ
C
JM = ML, LO = OK, and KN = NJ.
D
LN is a perpendicular bisector of JK, JO is a perpendicular bisector of LK, and MK is a perpendicular bisector of JL.
6

Consider the triangle.

Question illustration
A
mA = 95°, mB = 53°, mC = 32°
Option A
B
mA = 32°, mB = 53°, mC = 95°
Option B
C
mA = 43°, mB = 32°, mC = 95°
Option C
D
mA = 53°, mB = 95°, mC = 32°
Option D
7

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
11

Which diagram shows possible angle measures of a triangle?

Question illustration
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
14

A triangle has side lengths measuring 2x + 2 ft, x + 3 ft, and n ft.

A
x – 1 < n < 3x + 5
B
n = 3x + 5
C
n = x – 1
D
3x + 5 < n < x – 1
16

Triangle B C D is shown. Line D B extends through point A to form exterior angle A B C. Angle B D C is 67 degrees and Angle C D B is 60 degrees.

Question illustration
A
m∠ABC = 60°
B
m∠ABC = 67°
C
m∠ABC = 120°
D
m∠ABC = 127°
17

A triangle has side lengths measuring 2x + 2 ft, x + 3 ft, and n ft.

A
x – 1 < n < 3x + 5
B
n = 3x + 5
C
n = x – 1
D
3x + 5 < n < x – 1
18

The proof that ΔRST ≅ ΔVST is shown.Given: ST is the perpendicular bisector of RV.Prove: ΔRST ≅ ΔVST

Question illustration
A
perpendicular bisector theorem
B
converse of the perpendicular bisector theorem
C
Pythagorean theorem
D
SSS congruence theorem
19

In triangle QRS, QR = 8 and RS = 5. Which expresses all possible lengths of side QS?

A
QS = 13
B
5 < QS < 8
C
QS > 13
D
3 < QS < 13
20

Which congruence theorems can be used to prove ΔABR ≅ ΔACR? Select three options.

Question illustration
A
HL
B
SAS
C
SSS
D
ASA
E
AAS

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