Triangle Similarity: SSS and SAS Answers
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1
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The ratios of corresponding sides in the two triangles are equal.
A
∠F ≅ ∠JB
∠I ≅ ∠FC
∠E ≅ ∠HD
∠G ≅ ∠I2
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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
3
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.4
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.
5
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.6
In the diagram, AB is 6 units, BC is 30 units, and AE is 4 units.
A
16 unitsB
20 unitsC
24 unitsD
28 units7
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.
8
In the diagram, .
A
MN and SRB
MN and QRC
∠S ≅ ∠ND
∠S ≅ ∠O9
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.
10
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.Did you find these answers helpful?
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