Triangle Similarity: SSS and SAS

Question 1

StartFraction Q R Over T U EndFraction [image 1] = [___]

Revolt · Accepted Answer

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

Question 2

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

Revolt · Accepted Answer

2

Question 3

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

Revolt · Accepted Answer

2

Question 4

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

Revolt · Accepted Answer

SSS similarity

Question 5

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 6

Now that you know the length of XZ, you need to know that angle O is congruent to [___] to prove △XYZ ~ △MNO using SAS.

Revolt · Accepted Answer

angle Z

Question 7

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

Revolt · Accepted Answer

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

Question 8

♦: [___]

Revolt · Accepted Answer

substitution property

Question 9

♠: [___]

Revolt · Accepted Answer

SAS similarity theorem

Question 10

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

Revolt · Accepted Answer

Yes, △EFG ~ △KLM by SSS or SAS.

Triangle Similarity: SSS and SAS Answers

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