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

Triangle Similarity: SSS and SAS Answers

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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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1/2✔ 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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What additional information is needed to prove that the triangles are similar?

Answers:
To prove △XYZ ~ △MNO using SSS, you need to know that .:MN = 6 and XZ = 17.5
Now that you know the length of XZ, you need to know that angle O is congruent to to prove △XYZ ~ △MNO using SAS.:angle Z
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angle X angle Y ✔ angle Z

A
angle X
B
angle Y
C
✔ angle Z
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⇒ 28

Answer:

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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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division propertymultiplication property✔ substitution property

A
division property
B
multiplication property
C
✔ substitution property
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✔ SAS similarity theoremSSA similarity theoremSSS similarity theorem

A
✔ SAS similarity theorem
B
SSA similarity theorem
C
SSS similarity theorem

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