Question

abcd is a quadrilateral with BE= ED

Answer 1

If BE = ED, then triangle BED is an isosceles triangle, meaning that the two base angles are congruent. Additionally, since ABCD is a quadrilateral, opposite angles are supplementary. Therefore, angles B and D are also congruent.

So, we have:

Angle B = Angle D

Angle A = Angle C

Angle B + Angle C = 180 degrees

Therefore, ABCD is a parallelogram.