Question

M
In the given figure, M is the mid-point of AB and CD. Prove
that CA = BD and CA || BD.
А
B​

Answer 1

In angle CAM and MBD

AM=MB [Given]

CM=MD[Given]

Angle CAM=Angle MBD(Vertical Opposite Angle)

Angle CAM=MBD. (SAS Axiom)

Hence, Proved CA||BD or CA=BD(By Cpct)