AnswersCR CCSS Math 2 S2 M2960OXTriangle Similarity: AA

Triangle Similarity: SSS and SAS Answers

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Which pairs of triangles are similar? Check all that apply.

A
△ABC ~ △DEF
B
△DEF ~ △GHI
C
△GHI ~ △ABC
D
△GHI ~ △JKL
E
△JKL ~ △ABC
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1/41/2✔ 24

A
1/4
B
1/2
C
2
D
4
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1/2✔ 246

A
1/2
B
2
C
4
D
6
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1/2✔ 246

A
1/2
B
2
C
4
D
6
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SAS congruencySAS similaritySSS congruency✔ SSS similarity

A
SAS congruency
B
SAS similarity
C
SSS congruency
D
SSS similarity
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MN = 6 and XZ = 6✔ MN = 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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angle X angle Y ✔ angle Z

A
angle X
B
angle Y
C
angle Z
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Question text not available

Answer:

28

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Given: ΔWXY is isosceles with legs WX and WY; ΔWVZ is isosceles with legs WV and WZ.

Answers:
♣::WX = WY; WV = WZ
♦::substitution property
♠::SAS similarity theorem
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♦:

A
division property
B
multiplication property
C
substitution property
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♠:

A
SAS similarity theorem
B
SSA similarity theorem
C
SSS similarity theorem
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Which statement best describes triangles UVW and XYZ?

A
They are similar and congruent.
B
They are similar, but not congruent.
C
They are congruent, but not similar.
D
They are neither congruent nor similar.
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♣:

A
WX = WY; WV = WZ
B
WX = WZ; WV = WY
C
WY = WY; WZ = WZ
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If △HLI ~ △JLK by the SSS similarity theorem, then is also equal to which ratio?

Question illustration
A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
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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.
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What information is necessary to prove two triangles are similar by the SAS similarity theorem?

Answer:

You need to show that two sides of one triangle are proportional to two corresponding sides of another triangle, with the included corresponding angles being congruent.

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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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