# In a rectangle ABCD, E is a point which bisects BC, prove AE=ED

E is a point on BC such that BE=EC .

To prove - AE=AD

Proof- In triangle ABE and DCE

AB = DC ( ABCD is a rectangle )

Angle E =Angle D ( Each 90)

BE = CE (Given)

So by SAS Congruency theorem ABE is congruent to DCE

Therefore by CPCT , AE = AD