Triangle Similarity: SSS and SAS Answers
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1
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In the diagram, .
A
MN and SRB
MN and QRC
∠S ≅ ∠ND
∠S ≅ ∠O2
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Aisha is trying to determine if △LMN and △PQR are similar, congruent, or neither using the information in the diagram.
A
The triangles are not similar, but they are congruent.B
The triangles are neither similar nor congruent.C
The triangles are similar by the SAS similarity theorem.D
The triangles are similar by the SSS similarity theorem.3
The ratios of corresponding sides in the two triangles are equal.
A
∠F ≅ ∠JB
∠I ≅ ∠FC
∠E ≅ ∠HD
∠G ≅ ∠I4
Consider the two triangles.
A
LM is 3 units and XZ is 5 units.B
LM is 4 units and XZ is 6 units.C
LM is 5 units and XZ is 3 units.D
LM is 6 units and XZ is 4 units.5
In the diagram, DG = 15, GF = 5, EH = 12, and DE = 8.
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.6
2 triangles are shown. The first triangle has side lengths x, x, 50. The second triangle has side lengths 45, 45, 75.
A
1.5B
20C
30D
67.57
△RST ~ △RYX by the SSS similarity theorem.
A
StartFraction X Y Over T S EndFraction
B
StartFraction S Y Over R Y EndFraction
C
StartFraction R X Over X T EndFraction
D
StartFraction S T Over Y X EndFraction
8
Consider the two triangles shown.
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.
10
In the diagram, AB is 6 units, BC is 30 units, and AE is 4 units.
A
16 unitsB
20 unitsC
24 unitsD
28 unitsDid you find these answers helpful?
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