Unit Test — Unit test Answers

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41
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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
42
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If triangle RST is an acute triangle, then m∠S must be

A
less than 90°.
B
equal to 90°.
C
equal to 100°.
D
greater than 90° and less than 180°.
43

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
44

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°.
45

Triangle T R S has centroid Z. Lines are drawn from each point to the midpoint of the opposite side to form line segments T W, R V, and S U.

Question illustration
A
3 inches
B
6 inches
C
12 inches
D
18 inches
46

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.
47

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
48

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
49

Triangle XYZ is isosceles. Angle Y measures a°.

Question illustration
A
2a
B
StartFraction a Over 2 EndFraction
Option B
C
90 a
Option C
D
180 2a
Option D
50

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
51

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°
52

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
53

If isosceles triangle ABC has a 130° angle at vertex B, which statement must be true?

A
m∠A = 15° and m∠C = 35°
B
m∠A + m∠B = 155°
C
m∠A + m∠C = 60°
D
m∠A = 20° and m∠C = 30°

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