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

Question 1

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

Revolt · Accepted Answer

Yes, △EFG ~ △KLM by SSS or SAS.

Question 2

What did you include in your response? Check all that apply.

Revolt · Accepted Answer

Two pairs of corresponding sides must be proportional.

Question 3

Complete the statements to verify that the triangles are similar.

Revolt · Accepted Answer

=: 2; Therefore, △PQR ~ △STU by the theorem.: SSS similarity

Question 4

StartFraction P R Over S U EndFraction [image 1] = [___]

Revolt · Accepted Answer

2

Question 5

StartFraction P Q Over S T EndFraction = StartFraction StartRoot 52 EndRoot Over StartRoot 13 EndRoot EndFraction [image 1] = [___]

Revolt · Accepted Answer

2

Question 6

Therefore, △PQR ~ △STU by the [___] theorem.

Revolt · Accepted Answer

SSS similarity

Question 7

To prove △XYZ ~ △MNO using SSS, you need to know that [___].

Revolt · Accepted Answer

MN = 6 and XZ = 17.5; 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

Question 8

x = [___]

Revolt · Accepted Answer

28

Question 9

♣: [___]

Revolt · Accepted Answer

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

Question 10

Which statement best describes triangles UVW and XYZ?

Revolt · Accepted Answer

They are similar, but not congruent.

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

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