Question

In quadrilateral ACBD, AC =AD and AB bisects Show that $\Delta ABC$ $\cong$ $\Delta ABD.$ What can you say about BC and BD?

Answer 1

In $△ABC$ and $△ABD$

$AC=AD$ (given)

$\angle CAB=\angle DAB$ (given)

$AB=AB$ (common)

So, by congruence SAS rule,

$△ABC\cong △ABD$

So, $BC=CD$ (CPCT)