Question

question 3 of 10 is △mno≅ △pqr? if so, name the congruence postulate that applies. given: (overline{mn}congoverline{pq}), (overline{no}congoverline{qr}), (overline{mo}congoverline{pr}) a. congruent - sas b. congruent - sss c. might not be congruent d. congruent - asa

Explanation:

Step1: Recall congruence postulates

The SAS (Side - Angle - Side) postulate requires two sides and the included angle to be congruent. The SSS (Side - Side - Side) postulate requires all three sides of one triangle to be congruent to all three sides of another triangle. The ASA (Angle - Side - Angle) postulate requires two angles and the included side to be congruent.

Step2: Analyze given information

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

Answer:

B. Congruent - SSS