Question

select the correct answer. if △acb and △egf are congruent by the asa criterion, which pair of angles must be congruent? a. ∠acb and ∠feg b. ∠cab and ∠gef c. ∠cab and ∠egf d. ∠abc and ∠gfe

Explanation:

Step1: Recall ASA criterion

ASA (Angle - Side - Angle) congruence criterion states that if two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, then the two triangles are congruent.

Step2: Identify corresponding angles

In \(\triangle ACB\) and \(\triangle EGF\), if they are congruent by ASA, the pairs of corresponding angles must be congruent. The included side for \(\triangle ACB\) and \(\triangle EGF\) implies that \(\angle ACB\) corresponds to \(\angle EGF\), \(\angle CAB\) corresponds to \(\angle GEF\), and \(\angle ABC\) corresponds to \(\angle EFG\).

Answer:

B. \(\angle CAB\) and \(\angle GEF\)