Question

What additional piece of information is needed to prove the two triangles congruent using SAS? (1 point) Responses ∠UWK ≅ ∠KMV ∠UWK ≅ ∠KMV VM¯¯¯¯¯¯¯¯¯ ≅ WV¯¯¯¯¯¯¯¯¯ VM¯¯¯¯¯¯¯¯¯ ≅ WV¯¯¯¯¯¯¯¯¯ MK¯¯¯¯¯¯¯¯¯¯ ≅ WU¯¯¯¯¯¯¯¯¯ MK¯¯¯¯¯¯¯¯¯¯ ≅ WU¯¯¯¯¯¯¯¯¯ ∠VKM ≅ ∠VUW

Answer 1

To prove the two triangles congruent using the Side-Angle-Side (SAS) congruence criterion, we need one of the following pieces of information:

1. The angle included between the two sides is congruent: ∠VKM ≅ ∠VUW.

This confirms the angle formed by the two sides that we know the lengths of, thus allowing us to apply the SAS theorem.

The other options do not provide the necessary information (either side lengths or included angle) to establish congruence under SAS.