Triangle Similarity: SSS And SAS Assignment

8 September 2022
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question
If â–³HLI ~ â–³JLK by the SSS similarity theorem, then HL/JL = IL/KL is also equal to which ratio?
answer
HI/JK
question
Can the triangles be proven similar using the SSS or SAS similarity theorems?
answer
Yes, â–³EFG ~ â–³KLM by SSS or SAS.
question
Which statement best describes triangles UVW and XYZ?
answer
They are similar, but not congruent.
question
Complete the statements to verify that the triangles are similar. QR/TU = __ PR/SU = __ PQ/ST = __ 52/13 = __
answer
2 2 2 SSS similarity
question
What information is necessary to prove two triangles are similar by the SAS similarity theorem?
answer
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.
question
What additional information is needed to prove that the triangles are similar?To prove â–³XYZ ~ â–³MNO 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 â–³XYZ ~ â–³MNO using SAS.
answer
MN = 6 and XZ = 17.5 people angle Z
question
What value of x will make the triangles similar by the SSS similarity theorem? x =
answer
28
question
Which pairs of triangles are similar? Check all that apply.
answer
â–³DEF ~ â–³GHI â–³JKL ~ â–³ABC
question
Given: ΔWXY is isosceles with legs WX and WY; ΔWVZ is isosceles with legs WV and WZ .Prove: ΔWXY ~ ΔWVZ
answer
WX = WY; WV = WZ substitution property SAS similarity theorem