Triangle Similarity: SSS and SAS Assignment

Complete the statements to verify that the triangles are similar. QR/TU = __ PR/SU = __ PQ/ST = __ 52/13 = __

2 2 2 SSS similarity

What value of x will make the triangles similar by the SSS similarity theorem? x =

28

If △HLI ~ △JLK by the SSS similarity theorem, then HL/JL = IL/KL is also equal to which ratio?

HI/JK

What additional information is needed to prove that the triangles are similar?To prove △XYZ ~ △MNO using SSS, you need to know that __________.Now that you know the length of XZ, you need to know that angle O is congruent to _________ to prove △XYZ ~ △MNO using SAS.

MN = 6 and XZ = 17.5 people angle Z

Which statement best describes triangles UVW and XYZ?

They are similar, but not congruent.

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

WX = WY; WV = WZ substitution property SAS similarity theorem

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

Yes, △EFG ~ △KLM by SSS or SAS.

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

You need to show that two sides of one triangle are proportional to two corresponding sides of another triangle, with the included corresponding angles being congruent.

Which pairs of triangles are similar? Check all that apply.

△DEF ~ △GHI △JKL ~ △ABC