Question

question 2 of 10 is \\( \triangle m n o \cong \triangle p q r \\) ? if so, name the congruence postulate that applies. given: \\( \overline{m n} \cong \overline{p q} \\) \\( \overline{n o} \cong \overline{q r} \\) \\( \overline{m o} \cong \overline{p r} \\) a. might not be congruent b. congruent - sss c. congruent - asa d. congruent - sas

Explanation:

Step1: Recall the SSS congruence postulate

The SSS (Side - Side - Side) congruence postulate states that if three sides of one triangle are congruent to three sides of another triangle, then the two triangles are congruent.

Step2: Check the given side congruences

We are given that \(\overline{MN}\cong\overline{PQ}\), \(\overline{NO}\cong\overline{QR}\), and \(\overline{MO}\cong\overline{PR}\). This means all three pairs of corresponding sides of \(\triangle MNO\) and \(\triangle PQR\) are congruent.

Answer:

B. Congruent - SSS