In triangles DEF and OPQ, ∠D ≅ ∠O, ∠F ≅ ∠Q, and segment DF ≅ segment OQ. Is this information sufficient to prove triangles DEF and OPQ congruent through SAS? Explain your answer.

Question

Mathematics

Javon Henson

30 December, 19:10

In triangles DEF and OPQ, ∠D ≅ ∠O, ∠F ≅ ∠Q, and segment DF ≅ segment OQ. Is this information sufficient to prove triangles DEF and OPQ congruent through SAS? Explain your answer.

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Answers (1)

Know the Answer?

Kaley Rich · Answer 1

No

Step-by-step explanation:

SAS requires two congruent sides with one congruent angle between them. The problem statement describes one congruent side between two congruent angles. The appropriate claim for congruence is ASA, not SAS.