Question

In the given figure,AE=DE,CE=BE,then prove that AB=CD.

Answer 1

In triangle Aeb and triangle card
Ae=De
Be=CE
angle Aeb= angle card
so these two triangles are congurent by SAS rule
so Ab=Cd (cpct)

Answer 2

In the triangles AEBand CED
AE is equal to DE
CEis equal to BE
angle AEB is equal to angle CED (vertically oppo.angles are equal)
by SAS
triangles AEC congruent to CED
AB=CD
PROOVED