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To prove that AVWZ - AYXZ by the SAS similarity

theorem, which other sides or angles should be used?
O WV and XY
O WV and ZY
O O < VWZ =

To prove that AVWZ - AYXZ by the SAS similarity theorem, which other sides or angles-example-1

1 Answer

4 votes

Answer:

C. <VZW ≅ <YZX

Explanation:

The SAS Similarity theorem says that two triangles are considered similar to each other, when 2 of the corresponding side lengths of the triangles are proportional to each other, and also the included angles in each triangle are congruent.

We are given the two sides of each triangle that corresponds to each other already. So, the next item to be used in order to prove that both triangles are similar is the corresponding included angles that should be congruent to each other. Thus:

The included angle, <VZW in ∆VWZ corresponds to the included angle, <YZX in ∆YXZ.

Therefore:

<VZW ≅ <YZX

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