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What additional information is needed to prove the triangles similar by the SAS Similarity Criterion?​

What additional information is needed to prove the triangles similar by the SAS Similarity-example-1
User Aftab Alam
by
6.6k points

2 Answers

8 votes

Answer:

if two sides of one triangle are proportional to two sides of another triangle and their included angles are congruent, then the triangles are similar.

User MAP
by
6.8k points
1 vote

Answer:

  • Option C

Explanation:

SAS requires two sides have same ratio and the included angle to be congruent.

We are given two sides with ratio:

  • GH/IR = 8/12 = 2/3
  • FH/SR = 12/18 = 2/3

The missing information is the congruence of the included angle:

  • ∠H ≅ ∠ R

Correct answer choice is C

User YoungMin Park
by
6.9k points
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