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Thank you for visiting 3 ABDE is an isosceles trapezoid Priya claims that triangle AEB is congruent to triangle DBE Convince Priya this is not true. This page is designed to guide you through key points and clear explanations related to the topic at hand. We aim to make your learning experience smooth, insightful, and informative. Dive in and discover the answers you're looking for!

3. ABDE is an isosceles trapezoid. Priya claims that triangle AEB is congruent to triangle DBE. Convince Priya this is not true.

Answer :

We can show that Priya's claim is not true by using the properties of congruent triangles. If triangle AEB is congruent to triangle DBE, then their corresponding sides and angles must be equal.

What is an isosceles trapezoid?

Since ABDE is an isosceles trapezoid, we know that AB is parallel to DE and AD is congruent to BE. Also, angles ABD and BED are equal, and angles AEB and BDE are supplementary. The lengths of the left and right sides of a trapezoid are identical since the base angles are likewise equal.

However, triangle AEB is not congruent to triangle DBE because the corresponding sides are not equal. In particular, AE and BD are not equal because they are the non-parallel sides of the trapezoid. Therefore, we have shown that Priya's claim is not true.

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