Can the triangles below be proven similar by the SAS Similarity Postulate? Yes, the SAS Similarity Postulate can be used because 2 sets of corresponding sides are proportional, and the included angles by these sides are congruent. Yes, the SAS Similarity Postulate can be used because 2 sets of corresponding sides are congruent, and the included angles by these sides are congruent. No, the SAS Similarity Postulate cannot be used because the corresponding angles are congruent but not included by the proportional sides. No, the SAS Similarity Postulate cannot be used because the 2 sets of corresponding sides are not proportional.

Question

Can the triangles below be proven similar by the SAS Similarity Postulate?    Yes, the SAS Similarity Postulate can be used because 2 sets of corresponding sides are proportional, and the included angles by these sides are congruent.  Yes, the SAS Similarity Postulate can be used because 2 sets of corresponding sides are congruent, and the included angles by these sides are congruent.  No, the SAS Similarity Postulate cannot be used because the corresponding angles are congruent but not included by the proportional sides.  No, the SAS Similarity Postulate cannot be used because the 2 sets of corresponding sides are not proportional.

StrycharzT · Accepted Answer

Step 1 here we have triangles △ABC and △EDF and if we use the SAS similarity postulate we have to make sure to use any two sides and one angle from each triangle respectively such as ABED=BCDF and ∠B=∠D or ABDF=BCED and ∠B=∠D Step 2 using either of any two ratios we get 65=92 and ∠B=∠D=67∘ but 1.2≠4.5 or 62=95 and ∠B=∠D=67∘ but 3≠1.8 Step 3 so, we can see that neither of them is satisfying the SAS rule as their corresponding angles are equal but their corresponding sides are not proportional. therefore, the correct option is D

Can the triangles below be proven similar by the SAS Similarity Postulate?

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