Can the triangles below be proven similar by the SSS Similarity Postulate? Explain.

tinfoQ

tinfoQ

Answered question

2021-08-04

Can the triangles below be proven similar by the SSS Similarity Postulate? Explain.

1)No, the SSS Similarity Postulate cannot be used to prove the two triangles are similar. To use the SSS Similarity Postulate, all three corresponding sides must be known to be proportional.
2)Yes, the SSS similarity Postulate can be used to prove the two triangles are similar. The triangles have one set of congruent corresponding angles, so the SSS Similarity Postulate can be used.
3)No, the SSS Similarity Postulate cannot be used to prove the two triangles are similar. To use the SSS similarity Postulate, all three corresponding angles must be known to be congruent.
4)No, the SSS Similarity Postulate cannot be used to prove the two triangles are similar. To use the SSS Similarity Postulate, all three corresponding sides must be known to be congruent.

Answer & Explanation

comentezq

comentezq

Skilled2021-08-05Added 106 answers

Step 1
We have the given figure as

Here, all three sides of both the triangles are missing. So we can not predict the corresponding ratio of sides of both of the triangles.
Step 2
SSS stands for "side-side-side" and means that we have two triangles with all three pairs of corresponding sides in the same ratio.
Hence, option (1) is correct option.

2021-10-25

1)No, the SSS Similarity Postulate cannot be used to prove the two triangles are similar. To use the SSS Similarity Postulate, all three corresponding sides must be known to be proportional.

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