Question

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

Explanation:

Step1: Recall congruence postulates

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

Step2: Analyze given information

We are given $\overline{MN}\cong\overline{PQ}$, $\overline{NO}\cong\overline{QR}$, and $\overline{MO}\cong\overline{PR}$, which means all three pairs of corresponding sides are congruent.

Answer:

B. Congruent - SSS