Triangle Similarity: SSS and SAS Answers
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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.2
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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
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.4
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
67.55
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.
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
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, .
A
MN and SRB
MN and QRC
∠S ≅ ∠ND
∠S ≅ ∠O9
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.
10
In the diagram, .
A
J measures 60°.
B
J measures 30°.C
I measures 60°.D
I measures 30°.Did you find these answers helpful?
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