Triangle Similarity: SSS and SAS Answers
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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.
A
15.9B
59C
77D
96.83
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.
4
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
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.
6
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.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
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.9
In the diagram, AB is 6 units, BC is 30 units, and AE is 4 units.
A
16 unitsB
20 unitsC
24 unitsD
28 units10
In the diagram, .
A
MN and SRB
MN and QRC
∠S ≅ ∠ND
∠S ≅ ∠ODid you find these answers helpful?
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