Question

Which quadrilateral has the properties given below?

$\bullet$ All sides are of equal length.
$\bullet$ All angles are right angles.
$\bullet$ Opposite sides are parallel.
$\bullet$ Diagonals are of equal length.

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

Answer 1

The correct option is C Square

The properties mentioned in the question:

1. All sides are of equal length.
2. All angles are right angles.
3. Opposite sides are parallel.
4. Diagonals are of equal length.

A square can satisfy all of the above characteristics.
A square:
$\Rightarrow AB=BC=CD=DA\Rightarrow DiagonalAC=DiagonalBD\Rightarrow \angle A=\angle B=\angle C=\angle C={90}^{\circ }$

Hence, square is the correct answer.