triangleBRM congruent to triangleKYZ. How can you justify that segment Y Z is congruent to Segment R M?
a. CPCTC
b. SAS
c. ASA
d. AAS
b. SAS (Side-Angle-Side)
If we know that triangle BRM is congruent to triangle KYZ, then we can use the SAS (Side-Angle-Side) congruence postulate to justify that segment YZ is congruent to segment RM.
SAS states that if two sides and the included angle of one triangle are congruent to the corresponding sides and included angle of another triangle, then the triangles are congruent. In this case, we know that segment BR is congruent to segment KY and segment BM is congruent to segment YZ. Additionally, we know that angle BRM is congruent to angle KYZ.
Therefore, by the SAS congruence postulate, we can conclude that segment YZ is congruent to segment RM.