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

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

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1
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Can the triangles be proven similar using the SSS or SAS similarity theorems?

A
Yes, △EFG ~ △KLM only by SSS.
B
Yes, △EFG ~ △KLM only by SAS.
C
Yes, △EFG ~ △KLM by SSS or SAS.
D
No, they cannot be proven similar by SSS or SAS.
2
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What did you include in your response? Check all that apply.

A
Two pairs of corresponding sides must be proportional.
B
Corresponding included angles must be congruent.
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Complete the statements to verify that the triangles are similar.

Answers:
=:2
=:2
=:2
Therefore, △PQR ~ △STU by the theorem.:SSS similarity
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1/2246

A
1/2
B
2
C
4
D
6
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1/2246

A
1/2
B
2
C
4
D
6
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SAS congruencySAS similaritySSS congruencySSS similarity

A
SAS congruency
B
SAS similarity
C
SSS congruency
D
SSS similarity
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MN = 6 and XZ = 6MN = 6 and XZ = 17.5MN = 17.5 and XZ = 6

A
MN = 6 and XZ = 6
B
MN = 6 and XZ = 17.5
C
MN = 17.5 and XZ = 6
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✔ WX = WY; WV = WZWX = WZ; WV = WYWY = WY; WZ = WZ

A
✔ WX = WY; WV = WZ
B
WX = WZ; WV = WY
C
WY = WY; WZ = WZ

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