Question

In the following figure, state the conditions you would use to show that $\Delta ABC$ and $\Delta EDC$ are congruent.

Answer 1

We have to find $\Delta$ABC and $\Delta$EDC are congruent

In $\Delta$ACB and $\Delta$EDC

$\angle ACB=\angle ECD$(vertically opposite angles)

$CE=AC$(given)

$CB=CD$(given)

By SAS property.
$\Delta ACB\cong \Delta EDC$.