Question

Prove that if the diagonals in a quadrilateral
bisect each other. Then it is a parallelogram.
Prove △ABE ≡ △CDE.
Hence, prove AB ∥ DC and AD ∥ BC.

Answer 1

Answer:in triangle ABE and triangle CDE

AE=CE [given]

BE=DE. [given]

Angle ABE= Angle DCE [opp. Angle]

therefore ,∆ABE congruent ∆DCE. [by SSS congurence]

Therefore, AB||DC and AD||BC

Step-by-step explanation: