Triangle Similarity: SSS and SAS

Question 1

If △HLI ~ △JLK by the SSS similarity theorem, then StartFraction H L Over J L EndFraction = StartFraction I L Over K L EndFraction is also equal to which ratio?

Revolt · Accepted Answer

Answer image: //media.edgenuity.com/EVresources/d1f3f27301de315095c51710f3e65dd4.png

Question 2

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

Revolt · Accepted Answer

Yes, △EFG ~ △KLM by SSS or SAS.

Question 3

Which statement best describes triangles UVW and XYZ?

Revolt · Accepted Answer

They are similar, but not congruent.

Question 4

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 5

Complete the statements to verify that the triangles are similar.

Revolt · Accepted Answer

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

Question 6

1/2✔ 246

Revolt · Accepted Answer

✔ 2

Question 7

1/2✔ 246

Revolt · Accepted Answer

✔ 2

Question 8

SAS congruencySAS similaritySSS congruency✔ SSS similarity

Revolt · Accepted Answer

✔ SSS similarity

Question 9

What additional information is needed to prove that the triangles are similar?

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 10

angle X angle Y ✔ angle Z

Revolt · Accepted Answer

✔ angle Z

Triangle Similarity: SSS and SAS Answers

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