Triangle Similarity: SSS and SAS Answers
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1
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△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
2
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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.3
In the diagram, .
A
MN and SRB
MN and QRC
∠S ≅ ∠ND
∠S ≅ ∠O4
The ratios of corresponding sides in the two triangles are equal.
A
∠F ≅ ∠JB
∠I ≅ ∠FC
∠E ≅ ∠HD
∠G ≅ ∠I5
Consider the two triangles.
A
Show that the ratios are equivalent, and ∠U ≅ ∠X.
B
Show that the ratios are equivalent, and ∠V ≅ ∠Y.
C
Show that the ratios are equivalent, and ∠W ≅ ∠X.
D
Show that the ratios are equivalent, and ∠U ≅ ∠Z.
7
Consider the two triangles.
A
Show that the ratios are equivalent.
B
Show that the ratios are equivalent.
C
Show that the ratios are equivalent, and ∠V ≅ ∠Y.D
Show that the ratios are equivalent, and ∠U ≅ ∠Z.
8
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
67.59
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?
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.
D
= 2△ABC ~ △ZYX by the SSS similarity theorem.
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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