Question

in the figure shown, what additional information is needed to show that △abc≅△def by asa? a. m∠c b. ab = de c. m∠p d. bc = ef

Explanation:

Step1: Recall ASA congruence criterion

ASA (Angle - Side - Angle) requires two pairs of corresponding angles and the included side to be congruent.

Step2: Analyze given information

We already have one pair of angles. We need the included side between the two pairs of angles to be congruent. In \(\triangle ABC\) and \(\triangle DEF\), if we have \(\angle B\cong\angle E\), \(\angle A\cong\angle D\), we need \(AB = DE\) (the included - side between the corresponding angles) for \(\triangle ABC\cong\triangle DEF\) by ASA.

Answer:

B. \(\overline{AB}\cong\overline{DE}\)