Question

in a parallelogram ABCD , E and F are points on AB and CD such that AE = CF prove that ED parallel to BF

Answer 1

hope this will help you thank you

Answer 2

Answer:

Hey, here is your answer mate!

Step-by-step explanation:

Given: ABCD is a parallelogram and AE = CF       ...(1)

To Prove: EDBF

Proof:

Since the opposite sides of the parallelogram are equal.

AB = CD         ... (2)

Subtract (1) from (2):

AB - AE = CD - CF

BE = DF      ... (3)

Also, BE is parallel to DF, therefore BEDF is a parallelogram.

Thus ED is parallel to BF.

Hope you understood