Question

is (\triangle abccong\triangle def)? explain.

Explanation:

Step1: Identify corresponding parts

In \(\triangle ABC\) and \(\triangle DEF\), \(\angle C=\angle E = 90^{\circ}\), \(BC = EF\) (marked as equal), \(\angle B=\angle F\) (given as angles).

Step2: Apply congruence criterion

The Angle - Angle - Side (AAS) congruence criterion states that if two angles and a non - included side of one triangle are equal to two angles and the corresponding non - included side of another triangle, then the two triangles are congruent. Here, we have two angles (\(\angle B=\angle F\) and \(\angle C=\angle E\)) and a non - included side (\(BC = EF\)).

Answer:

Yes, the triangles are congruent by AAS.