AnswersGeometry - Semester 1 PathwaysTriangle Similarity: SSS and SAS (Sec 7-3, 7-4, 7-5)

Triangle Similarity: SSS and SAS Answers

0 verified answers1 views
1
Free Preview

Aisha is trying to determine if △LMN and △PQR are similar, congruent, or neither using the information in the diagram.

Question illustration
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.
2
Free Preview

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.
3

△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
4

In the diagram, .

Question illustration
A
MN and SR
B
MN and QR
C
∠S ≅ ∠N
D
∠S ≅ ∠O
5

Consider the two triangles.

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

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
8

Consider the two triangles.

Question illustration
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.
9

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
10

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

Did you find these answers helpful?

More from this Course

Quiz
10 verified answers

Triangle Similarity: SSS and SAS (Sec 7-3, 7-4, 7-5)

Quiz
10 verified answers

Triangle Similarity: SSS and SAS

Quiz
10 verified answers

Using Triangle Similarity Theorems

Triangle Similarity: SSS and SAS Answers —…