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 x, x, 50. The second triangle has side lengths 45, 45, 75.
A
1.5B
20C
30D
67.52
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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.
3
The ratios of corresponding sides in the two triangles are equal.
A
∠F ≅ ∠JB
∠I ≅ ∠FC
∠E ≅ ∠HD
∠G ≅ ∠I4
Which would prove that ΔABC ~ ΔXYZ? Select two options.
A
StartFraction B A Over Y X = StartFraction B C Over Y Z EndFraction = StartFraction A C Over X Z EndFraction
B
StartFraction B A Over Y X = StartFraction B C Over Y Z EndFraction , angle C is-congruent-to angle Z
C
StartFraction A C Over X Z EndFraction = StartFraction B A Over Y X EndFraction , Angle A is-congruent-to Angle X
D
StartFraction B A Over Y X EndFraction = StartFraction A C Over Y Z EndFraction = StartFraction B C Over X Z EndFraction
E
StartFraction B C Over X Y EndFraction = StartFraction B A Over Z X EndFraction , Angle C is-congruent-to angle X.
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 35, 20, and 20. The second triangle has side lengths x, 44, 44.
A
15.9B
59C
77D
96.87
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.8
△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
9
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
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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