Question

(a) not necessarily congruent congruent: △uvw ≅ △yxz by the side - angle - side (sas) congruence property (b) not necessarily congruent congruent: △mno ≅ △ by the select (c) not necessarily congruent congruent: △abc ≅ △edb by the side - angle - side (sas) congruence property

Explanation:

Step1: Analyze triangle congruence for part (b)

For triangle congruence, we check the given side - angle - side (SAS) or other congruence properties. In \(\triangle MNO\), we have two sides marked equal (by the tick marks) and in \(\triangle PRQ\), we also have two sides marked equal (by the tick marks). But we need to check the included angle.

Step2: Identify the congruent triangles

In \(\triangle MNO\), the side - side - side (SSS) congruence property can be used. \(\triangle MNO\) has three sides: \(MN\), \(NO\), \(MO\). \(\triangle PRQ\) has three sides: \(PR\), \(RQ\), \(PQ\). Since \(MN = PR\), \(NO=RQ\), \(MO = PQ\) (from the tick - mark notation in the figure), \(\triangle MNO\cong\triangle PRQ\) by the Side - Side - Side (SSS) Congruence Property.

Answer:

Congruent: \(\triangle MNO\cong\triangle PRQ\) by the Side - Side - Side (SSS) Congruence Property.