Question

In the given figure, $\angle EAB=\angle EBA$ and $AC=BD$. Then $AD=BC$.

• A. True
• B. False

Answer 1

The correct option is A True

In $\Delta ABC$ and $\Delta BAD$

$\angle BAC=\angle ABD$ (given)

$AB=AB$ (common)

$AC=BD$ (given)

So, $\Delta ABC\cong \Delta BAD$ (by SAS Criterion)

$\Rightarrow BC=AD$ (by C.P.C.T)

therefore it is true