Question

In the given figure, AC=DC, CB=CE. Show that AB=DE.

Answer 1

AC = DC ( Given )
CB = CE ( Given )
Angle ACB = Angle ECD ( Vertically opposite angle )
So by ( Side , Angle , Side ) SAS congruence rule triangle ACB is congruent to triangle ECD.
Hence AB = DE as they are congruent parts of congruent triangle .