AnswersOC27 GEO-1206310-S1-Degele-VOL7006PProving Lines Parallel

Triangle Similarity: SSS and SAS Answers

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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.

Question illustration
A
1.5
B
20
C
30
D
67.5
2
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△RST ~ △RYX by the SSS similarity theorem.

Question illustration
A
StartFraction X Y Over T S EndFraction
Option A
B
StartFraction S Y Over R Y EndFraction
Option B
C
StartFraction R X Over X T EndFraction
Option C
D
StartFraction S T Over Y X EndFraction
Option D
3

Triangles O N M and S R Q are shown. Angles O N M and S R Q are congruent. The length of side N M is 10 and the length of side S R is 20. The length of side N O is 8 and the length of side Q R is x.

Question illustration
A
16
B
20
C
25
D
50
4

In the diagram, .

Question illustration
A
J measures 60°.
Option A
B
J measures 30°.
Option B
C
I measures 60°.
Option C
D
I measures 30°.
Option D
5

2 triangles are shown. The first triangle has side lengths 35, 20, and 20. The second triangle has side lengths x, 44, 44.

Question illustration
A
15.9
B
59
C
77
D
96.8
6

Consider the two triangles.

Question illustration
A
Show that the ratios are equivalent.
Option A
B
Show that the ratios are equivalent.
Option B
C
Show that the ratios are equivalent, and ∠V ≅ ∠Y.
Option C
D
Show that the ratios are equivalent, and ∠U ≅ ∠Z.
Option D
7

In the diagram, DG = 15, GF = 5, EH = 12, and DE = 8.

Question illustration
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.
8

In the diagram, AB is 6 units, BC is 30 units, and AE is 4 units.

Question illustration
A
16 units
B
20 units
C
24 units
D
28 units
9

The ratios of corresponding sides in the two triangles are equal.

Question illustration
A
∠F ≅ ∠J
B
∠I ≅ ∠F
C
∠E ≅ ∠H
D
∠G ≅ ∠I
10

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
Option A
B
StartFraction B A Over Y X = StartFraction B C Over Y Z EndFraction , angle C is-congruent-to angle Z
Option B
C
StartFraction A C Over X Z EndFraction = StartFraction B A Over Y X EndFraction , Angle A is-congruent-to Angle X
Option C
D
StartFraction B A Over Y X EndFraction = StartFraction A C Over Y Z EndFraction = StartFraction B C Over X Z EndFraction
Option D
E
StartFraction B C Over X Y EndFraction = StartFraction B A Over Z X EndFraction , Angle C is-congruent-to angle X.
Option E

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