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# What Is a Quadrilateral With Congruent Diagonals?

**A quadrilateral with congruent diagonals is a rectangle or a square.** All four angles of a rectangle and a square are right angles, making the diagonals congruent. The diagonals of a rectangle and a square also bisect each other.

Rectangles and squares are parallelograms with both pairs of opposite sides parallel and equal. The area of a rectangle is given by A=length x width and the perimeter is given by P=2(length+ width).

A square has four equal sides. The area of a square is given by A=side x side, or side squared. The perimeter of a square is given by P= 4 x length of the side of the square.

The opposite angles of a rectangle are also congruent. Any two consecutive angles of a rectangle and a square are supplementary: their measures add up to 180 degrees. Every square is a rectangle but not every rectangle is a square.

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Q:
## How Many Diagonals Does a Decagon Have?

A: A decagon has 35 diagonals regardless of whether it is a regular or irregular polygon. This can be determined by using a simple formula that applies to pol... Full Answer >Filed Under: -
Q:
## What Is a Convex Quadrilateral?

A: A convex quadrilateral is a four-sided figure with interior angles of less than 180 degrees each and both of its diagonals contained within the shape. A di... Full Answer >Filed Under: -
Q:
## How Many Diagonals Does a Pentagon Have?

A: A pentagon has five diagonals on the inside of the shape. The diagonals of any polygon can be calculated using the formula n*(n-3)/2, where "n" is the numb... Full Answer >Filed Under: -
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## What Are Some Types of Rectangles?

A: Any shape that has four sides at right angles to each other with diagonals of equal length is a rectangle. The two special types of rectangles are squares ... Full Answer >Filed Under: