triangleBRM congruent to triangleKYZ. How can you justify that segment Y Z is congruent to Segment R M?

Answer 1

To justify that segment YZ is congruent to segment RM, we can use the corresponding parts of congruent triangles, specifically the corresponding sides.

If triangle BRM is congruent to triangle KYZ, then we can say that segment BR is congruent to segment KY, segment RM is congruent to segment YZ, and segment BM is congruent to segment KZ.

Since segment BR is congruent to segment KY (given triangle congruence), and segment BM is congruent to segment KZ (also given triangle congruence), we can conclude that segment YZ is congruent to segment RM by the Transitive Property of Congruence.