Question

3 from unit 2, lesson 13 abde is an isosceles trapezoid. priya makes a claim that triangle aeb is congruent to triangl is not true.

Explanation:

Step1: List given information

In isosceles trapezoid \(ABDE\), \(\overline{AE}\cong\overline{BD}\), \(\angle A\cong\angle B\), \(AB = AB\) (common - side).

Step2: Apply congruence criterion

By the Side - Angle - Side (SAS) congruence criterion, in \(\triangle AEB\) and \(\triangle BDA\), we have two pairs of congruent sides (\(\overline{AE}\cong\overline{BD}\) and \(AB = AB\)) and the included angles \(\angle A\cong\angle B\). So, \(\triangle AEB\cong\triangle BDA\).

Answer:

If Priya claims \(\triangle AEB\) is not congruent to \(\triangle BDA\), Priya's claim is false. If Priya claims \(\triangle AEB\) is congruent to some other triangle not named as \(\triangle BDA\), more information about that other triangle is needed to determine the truth of the claim. Assuming the intended comparison is with \(\triangle BDA\), the claim is false.