Question

If δdef and δmno are two triangles such that de ≅mn and ef ≅ no, which of the following would be sufficient to prove the triangles are congruent?

Answer 1

The information that would be sufficient to prove that both triangles are congruent by the SAS congruence theorem is: ∠E ≅ ∠N.

What is the Side-angle-side Congruence Theorem (SAS)?

When two sides and one included angle in a triangle is congruent to two corresponding sides and an included angle in another triangle, both triangles are congruent to each other by the SAS congruence theorem.

Thus:

ΔDEF and ΔMNO have:

Two pairs of congruent sides: DE ≅ MN and EF ≅ NO.

Therefore, the information that would be sufficient to prove that both triangles are congruent by the SAS congruence theorem is: ∠E ≅ ∠N.

Learn more about SAS congruence theorem on:

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