Question

Prove that the diagonals of the parallelogram bisect each other. Take scale on both axes as 1cm = a units

Answer 1

Answer:

Step-by-step explanation:

Answer 2

Answer:

Step-by-step explanation:

let a parallelogram ABCD where AB║CD and BC║AD

BD and AC cut each other at point E

to prove :- AE=EC and DE=EB

proof:-

in ΔAEB and ΔCED

∠CAB=∠DCA (alternate angle)

∠ABD=∠BDC (alternate angle)

AB=DC (opposite side are equal)

ΔAEB≅ΔCED (ASA)

AE=EC (CPCT)

BE=ED (CPCT)

hence proved.