Question

would you use sss or sas to prove the triangles congruent? if there is not enough information to prove the triangles by sss or sas, write not enough information. explain your answer.
write a congruence statement and give a reason why the triangles are congruent. select the correct choice below and, if necessary, write the vertices of the second triangle in the correct order.
a. (\triangle mrzcong\trianglesquare), sss
b. (\triangle mrzcong\trianglesquare), sas
c. the two triangles are not necessarily congruent. there is not enough information.

Explanation:

Step1: Identify corresponding sides and angles

We have \( MR = XR\), \(RZ=RY\), and \(MZ = XY\) (from the markings on the sides).

Step2: Apply congruence criterion

Since we have three pairs of corresponding sides equal (\(MR = XR\), \(RZ=RY\), \(MZ = XY\)), we use the SSS (Side - Side - Side) congruence criterion.
For the congruence statement, \(\triangle MRZ\cong\triangle XRY\) (by SSS)

Answer:

A. \(\triangle MRZ\cong\triangle XRY\), SSS