Question

in the given figure AC=DC and CB=CE,then prove that AB=DE and write the axiom used also

Answer 1

Take the two triangles. Prove them congruent. And side AB=DE

Answer 2

in this figure this parallogram ABED.which meet at point c.
proof =>in ∆ACD andECB
AC=DC (given)
CB=CE (given)
<ACD=ECB (vertically opposite angle)
so ∆ACD~=∆ECD by SAS congruent
AB=DE by (cpct)

and I think axiom 5