Question

In a kite, the longest diagonal bisects the angles at the vertices.

• A. True
• B. False

Answer 1

The correct option is A

True

In $\Delta ABD$ and $\Delta CBD$
AD = CD and AB = CB (properties of kites)
BD = BD (common)
By SSS congruence condition,
$\Delta ABD$ $\cong$ $\Delta CBD$
Also, $\angle ADB$ = $\angle BDC$ and $\angle ADB$ = $\angle CBD$ (corresponding parts of congruent triangles are equal)