Triangle Similarity: SSS and SAS

Question 1

What information is necessary to prove two triangles are similar by the SAS similarity theorem?

Revolt · Accepted Answer

To prove two triangles are similar using the SAS similarity theorem, you must show that two pairs of corresponding sides are proportional and that the included angles (the angles between those sides) are congruent.

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

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 4

angle X angle Y ✔ angle Z

Revolt · Accepted Answer

✔ angle Z

Question 5

Question 112710

Revolt · Accepted Answer

112710

Question 6

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

Revolt · Accepted Answer

♦:: substitution property; ♠:: SAS similarity theorem

Question 7

division propertymultiplication property✔ substitution property

Revolt · Accepted Answer

✔ substitution property

Question 8

✔ SAS similarity theoremSSA similarity theoremSSS similarity theorem

Revolt · Accepted Answer

✔ SAS similarity theorem

Triangle Similarity: SSS and SAS Answers

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