Question

Abcd is a parallelogram .L and m are points on ab and dc respectively and al =cm. Prove that lm and bd bisect each other

Answer 1

here is your answer . step by step

if you like my answer then plz.. mark me as brainliest answer.

Answer 2

Given : Abcd is a parallelogram .L and m are points on AB  and DC

To prove :  LM and BD bisect each other

Explanation:

Let LM and BD intersect at O

AL = CM and

AB = cd

therefore , AB-AL = CD -CM

thus BL = DM ..(1)

in triangle OMD and OLB

$\angle MOD = \angle BOL$ (v.o.a)

$\angle OMD = \angle OLB$

DM = BL

therefore

$\bigtriangleup OMD \cong \bigtriangleup OLB$

thus , OM =OL and OD = OB (by cpct)

therefore , O bisects the LM and BD

thus , LM and BD bisect each other

hence proved  

#Learn more:

https://brainly.in/question/14845652