Question

In which of the following quadrilaterals, a diagonal is not an angle bisector?

• A. Square
• B. Rectangle
• C. Rhombus
• D. Parallelogram

Answer 1

The correct option is B Rectangle

In the case of a rectangle, the diagonal is not an angle bisector.
Consider a rectangle ABCD.

Here, $\angle$ ADB = $\angle$ DBC (Alternate angles)
But, $\angle$ DBC is not equal to $\angle$ BDC (Angles opposite to unequal sides of a triangle are unequal)
$\therefore$ $\angle$ ADB is not equal to $\angle$ BDC
So, diagonal DB does not bisect $\angle$ D.