Question

Points E & F lie on a diagonal AC of a parallelogram ABCD  such that AE=CF.What type of a quadrilateral is BFDE?

Answer 1

BFDE IS A PARALLELOGRAM

Answer 2

Answer:

Step-by-step explanation:

In quadrilateral BFDE,

Given: AE=CF

To prove: BFDE is IIgm

Proof: In triangleAEB and triangleDFC

AE=CF(Given)

Angle1= Angle 2(Alternate interior angle)

AB=Dc(As ABCD is a IIgm)

by SAS, triangleAEB congruent triangle DFC

by CPCT,BE=DF

Similarly,DE=BF

Thus,in quadrilateral BFDE opposite sides are equal hence it is a parallelogram.--------(Hence proved)