AnswersMFISD GEOMETRY A 22-23 CRTest

Triangle Similarity: SSS and SAS Answers

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1
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2 triangles are shown. The first triangle has side lengths 35, 20, and 20. The second triangle has side lengths x, 44, 44.

Question illustration
A
15.9
B
59
C
77
D
96.8
2
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△RST ~ △RYX by the SSS similarity theorem.

Question illustration
A
StartFraction X Y Over T S EndFraction
Option A
B
StartFraction S Y Over R Y EndFraction
Option B
C
StartFraction R X Over X T EndFraction
Option C
D
StartFraction S T Over Y X EndFraction
Option D
3

Below are statements that can be used to prove that the triangles are similar. 1. 2. ∠B and ∠Y are right angles.3.?4.?Which two statements are missing in steps 3 and 4?

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A
∠X ≅ ∠C△ABC ~ △ZYX by the SAS similarity theorem.
B
∠B ≅ ∠Y△ABC ~ △ZYX by the SAS similarity theorem.
C
= 2△ABC ~ △ZYX by the SSS similarity theorem.
Option C
D
= 2△ABC ~ △ZYX by the SSS similarity theorem.
Option D
4

In the diagram, AB is 6 units, BC is 30 units, and AE is 4 units.

Question illustration
A
16 units
B
20 units
C
24 units
D
28 units
5

Triangles O N M and S R Q are shown. Angles O N M and S R Q are congruent. The length of side N M is 10 and the length of side S R is 20. The length of side N O is 8 and the length of side Q R is x.

Question illustration
A
16
B
20
C
25
D
50
6

In the diagram, DG = 15, GF = 5, EH = 12, and DE = 8.

Question illustration
A
HF is 2 units and GH is 3 units.
B
HF is 3 units and GH is 2 units.
C
HF is 4 units and GH is 2 units.
D
HF is 3 units and GH is 4 units.
7

Consider the two triangles.

Question illustration
A
Show that the ratios are equivalent, and ∠U ≅ ∠X.
Option A
B
Show that the ratios are equivalent, and ∠V ≅ ∠Y.
Option B
C
Show that the ratios are equivalent, and ∠W ≅ ∠X.
Option C
D
Show that the ratios are equivalent, and ∠U ≅ ∠Z.
Option D
8

The ratios of corresponding sides in the two triangles are equal.

Question illustration
A
∠F ≅ ∠J
B
∠I ≅ ∠F
C
∠E ≅ ∠H
D
∠G ≅ ∠I
9

2 triangles are shown. The first triangle has side lengths x, x, 50. The second triangle has side lengths 45, 45, 75.

Question illustration
A
1.5
B
20
C
30
D
67.5
10

Consider the two triangles shown.

Question illustration
A
The given sides and angles cannot be used to show similarity by either the SSS or SAS similarity theorems.
B
The given sides and angles can be used to show similarity by the SSS similarity theorem only.
C
The given sides and angles can be used to show similarity by the SAS similarity theorem only.
D
The given sides and angles can be used to show similarity by both the SSS and SAS similarity theorems.

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