AnswersTPS-202627-MTH-Geometry 1A-CRMeasuring Length and Angles

Congruence Answers

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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.
2
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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
3

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
4

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
5

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
6

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.
7

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
8

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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