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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Lincoln is measuring the angles of quadrilateral WXYZ to determine whether it is congruent to the quadrilateral QRST below. Which pair of measurements are possible if they are congruent figures?

Question illustration
A
and
Option A
B
and
Option B
C
and
Option C
D
and
Option D
3

Jermaine knows that and each have two sides that are 9 mm long. What statement best describes the two triangles?

Question illustration
A
The two triangles are congruent because there are two pairs of congruent corresponding sides.
B
The two triangles are congruent because both triangles are isosceles with 9 mm sides.
C
The two triangles may be congruent, but additional measurements are needed.
D
The two triangles may be congruent, but additional information is needed about the orientation of the figures.
4

If , which statement must be true?

Question illustration
A
Segment J K is congruent to
Option A
B
Segment J K is congruent to
Option B
C
Segment J L is congruent to
Option C
D
Segment J L is congruent to
Option D
5

If , which pair of sides must be congruent?

Question illustration
A
and
Option A
B
and
Option B
C
and
Option C
D
and
Option D
6

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.
7

Deepak is measuring sides and angles of triangle FGH to determine whether it is congruent to triangle MNP shown below.Deepak found that has a measure of 50° and is 18.3 centimeters long. Does he need to continue measuring sides and angles of triangle FGH and why?

Question illustration
A
No, he knows that the triangles are congruent because there are corresponding sides and angles that are congruent.
B
No, he knows that the triangles are not congruent because those measurements are not equal to the corresponding parts of triangle MNP.
C
Yes, he must verify that the other two side lengths and the other two angle measures are the same as those found in triangle MNP.
D
Yes, he must only verify that the other two angle measures are the same as those found in triangle MNP.
8

If WZYX PMLN describes two quadrilaterals, which other statement is also true?

Question illustration
A
WXYZ LMNP
Option A
B
WXYZ NPML
Option B
C
WXYZ PNLM
Option C
D
WXYZ MLNP
Option D
9

If , what statement best describes triangle MON?

Question illustration
A
The triangle is scalene.
B
The triangle is equilateral.
C
The triangle is isosceles and possibly equilateral.
D
The triangle is isosceles but definitely not equilateral.
10

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

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