Answers230CR GeometryUnit Test

Unit Test — Unit test Answers

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1
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Triangle KNM is shown.

Question illustration
A
KN = NM
B
KN + NM = KM
C
KM = 2(NM)
D
KN = KM
Option D
2
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Triangles H J K and L M N are shown. The triangles have identical side lengths and angle measures. Triangle H J K is slightly lower and to the left of triangle L M N. Triangle H J K is reflected to form triangle L M N.

Question illustration
A
Translate K to N and reflect across the line containing HJ.
B
Translate K to N and reflect across the line containing JK.
C
Translate H to L and reflect across the line containing JK.
D
Translate K to L and reflect across the line containing HJ.
3

Triangle JKL is isosceles. The measure of angle J is 72° and the measure of angle K is 36°. Which statement describes angle L?

A
Angle L is a base angle and measures 36°.
B
Angle L is a base angle and measures 72°.
C
Angle L is a vertex angle and measures 36°.
D
Angle L is a vertex angle and measures 72°.
4

Consider triangle WXY.

Question illustration
A
Angle W is greater than angle Y.
B
Angle Y is the largest angle.
C
Angle X is smaller than angle W.
D
Angle W is the smallest angle.
5

Triangles J K L and M N R are shown.

Question illustration
A
KL ≅ NR
B
∠L ≅ ∠R
C
∠K ≅ ∠N
D
JK ≅ MN
6

Chang knows one side of a triangle is 13 cm. Which set of two sides is possible for the lengths of the other two sides of this triangle?

A
5 cm and 8 cm
B
6 cm and 7 cm
C
7 cm and 2 cm
D
8 cm and 9 cm
7

Given: bisects ∠MRQ; ∠RMS ≅ ∠RQS

Question illustration
A
ΔMNR ≅ ΔMNS by ASA
B
ΔRMS ≅ ΔRQS by AAS
C
ΔSNQ ≅ ΔSNM by SSS
D
ΔQNR ≅ ΔMNR by HL
8

Triangle K M L is shown. Line L K extends through point J to form exterior angle J K M.

Question illustration
A
∠JKL
B
∠MKL
C
∠KLM
D
∠LMK
9

The proof that MNG ≅ KJG is shown.Given: N and J are right angles; NG ≅ JGProve: MNG ≅ KJG

Question illustration
A
the reflexive property
B
ASA
C
AAS
D
the third angle theorem
10

Which congruence theorem can be used to prove △WXS ≅ △YZS?

Question illustration
A
SSS
B
ASA
C
SAS
D
HL
11

Triangles D E F and G H J are congruent. Triangle D E F is shifted down and to the right to form triangle G H J.

Question illustration
A
dilation
B
reflection
C
rotation
D
translation
12

Triangles L O A and L A M share side L A. Angles O L A and A L M are congruent.

Question illustration
A
LO ≅ LM
B
OA ≅ MA
C
LOA ≅ LMA
Option C
D
LAO ≅ LAM
Option D
13

In the triangles, and .

Question illustration
A
congruent to
B
longer than
C
shorter than
D
the same length as
14

Triangle A B C is shown. Side A C has a length of 27. Side C B has a length of 54.

Question illustration
A
AB = 25
B
27 < AB < 81
C
AB = 85
D
AB 81
15

Which statements regarding the diagram of ΔEBC are true? Select three options.

A
∠BEC is an exterior angle.
B
∠DEC is an exterior angle.
C
∠ABE and ∠EBC are supplementary angles.
D
∠BCF and ∠DEC are supplementary angles.
E
∠BEC is a remote interior angle to exterior ∠BCF.
16

The proof that ΔQPT ≅ ΔQRT is shown.Given: SP ≅ SRProve: ΔQPT ≅ ΔQRT

Question illustration
A
definition of perpendicular bisector
B
definition of congruence
C
reflexive property
D
substitution property
17

Triangle L M Q is cut by perpendicular bisector L N. Angle N L Q is 32 degrees and angle L M N is 58 degrees.

Question illustration
A
Yes, they are congruent by either ASA or AAS.
B
Yes, they are both right triangles.
C
No, M is not congruent to NLQ.
Option C
D
No, there are no congruent sides.
18

A regular pentagon is created using the bases of five congruent isosceles triangles, joined at a common vertex.

Question illustration
A
54°
B
72°
C
108°
D
144°
19

Triangles Q R S and A B C are shown. The lengths of sides Q R and A B are 16 centimeters. The lengths of sides R S and B C are 24 centimeters. Angles Q R S and A B C are right angles. Sides Q S and A C are parallel and identical to each other and there is space in between the 2 triangles.

Question illustration
A
No, ΔQRS and ΔABC are congruent but ΔQRS cannot be mapped to ΔABC using a series rigid transformations.
B
No, ΔQRS and ΔABC are not congruent.
C
Yes, ΔQRS can be translated so that R is mapped to B and then rotated so that S is mapped to C.
D
Yes, ΔQRS can be translated so that Q is mapped to A and then reflected across the line containing QS.
20

Which pair of triangles can be proven congruent by SAS?

A
2 identical triangles are shown. The triangle is reflected across a line to form the second triangle.
Option A
B
2 identical triangles are shown. The triangle is rotated 90 degrees to form the second triangle.
Option B
C
2 identical triangles are shown. The triangle is reflected across a line and then rotated to form the second triangle.
Option C
D
2 identical triangles are shown. The triangle is rotated up and to the left 90 degrees to form the second triangle.
Option D

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