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
ot 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. △ksz≅△□, sss
b. △ksz≅△□, sas
c. the two triangles are not necessarily congruent. there is not enough information.

Explanation:

Step1: Check SSS (Side - Side - Side)

SSS congruence states that if three sides of one triangle are equal to three sides of another triangle, the triangles are congruent.
From the figure, \(KZ = TY\), \(KS=TS\), \(SZ = SY\).
So, \(\triangle KSZ\) and \(\triangle TSY\) have three pairs of equal sides.

Step2: Write the congruence statement

By SSS congruence criterion, \(\triangle KSZ\cong\triangle TSY\)

Answer:

A. \(\triangle KSZ\cong\triangle TSY\), SSS