AnswersAG Q4 Math 8 25-26 JTurnerCongruence

Congruence Answers

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In triangle FGH, FG = 12.3 cm, GH = 10.6 cm, , and . If , which statement is true?

Question illustration
A
AB = 12.3 cm
B
AB = 10.6 cm
C
Measure of angle C = 55 degrees
Option C
D
Measure of angle C = 80 degrees
Option D
2
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Manuela claims that and are congruent. Which statement best describes her claim?

Question illustration
A
She is incorrect because the segments do not have the same orientation.
B
She is incorrect because the segments do not have the same length.
C
She is correct because the segments have the same length.
D
She is correct because the segments have the same orientation.
3

Which statement describes the congruent triangles?

Question illustration
A
Triangle W X Z is congruent to triangle Y Z X
Option A
B
Triangle W X Z is congruent to triangle Y X Z
Option B
C
Triangle W X Z is congruent to triangle X Y Z
Option C
D
Triangle W X Z is congruent to triangle Z Y X
Option D
4

Which pair of segments in the figures below are congruent?

Question illustration
A
and
Option A
B
and
Option B
C
and
Option C
D
and
Option D
5

Rectangle JKLM is congruent to a 4 inch by 7 inch rectangle. How many different values are possible for the length of ?

Question illustration
A
one
B
two
C
three
D
four
6

Amber believes triangle ABC and triangle GFE are congruent. She has recorded the measures of some of the angles and the lengths of some of the sides in the triangles below. What additional measurement would support Amber’s hypothesis?

Question illustration
A
The measure of is 32°.
Option A
B
The measure of is 40°.
Option B
C
The measure of is 50°.
Option C
D
The measure of is 90°.
Option D
7

Which statement describes this pair of congruent triangles?

Question illustration
A
Triangle H J K is congruent to triangle L M N
Option A
B
Triangle H J K is congruent to triangle M L N
Option B
C
Triangle H J K is congruent to triangle N L M
Option C
D
Triangle H J K is congruent to triangle N M L
Option D
8

Kris claims that the two figures must be congruent. Which statement best describes his claim?

Question illustration
A
He is correct because both figures are triangles.
B
He is correct because the measures of the angles are the same in both figures.
C
He is incorrect because the triangles are not oriented the same way.
D
He is incorrect because the lengths of the corresponding sides of the figures are unknown.
9

Joaquin drew the triangle below. Which statement must be true about a figure that is congruent to Joaquin’s triangle?

Question illustration
A
It has two angles on the x-axis.
B
It has a side that is 9 units long.
C
It has a side that lies on the x-axis.
D
It has an obtuse angle.
10

If describes two triangles, which other statement is also true?

Question illustration
A
Triangle Q R S is congruent to Triangle X Y Z
Option A
B
Triangle Q R S is congruent to Triangle Y Z X
Option B
C
Triangle Q R S is congruent to Triangle Z X Y
Option C
D
Triangle Q R S is congruent to Triangle X Z Y
Option D

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