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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:
## How many diagonals does a nonagon have?

A: A nonagon, or enneagon, is a polygon with nine sides and nine vertices, and it has 27 distinct diagonals. The formula for determining the number of diagona... Full Answer >Filed Under: -
Q:
## How many triangles are in an octagon?

A: In an octagon, there are six triangles formed when diagonals are drawn from each vertex. An octagon is a figure that consists of eight straight sides, and ... Full Answer >Filed Under: -
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## How many diagonals does a heptagon have?

A: A heptagon has 14 diagonals. In geometry, a diagonal refers to a side joining nonadjacent vertices in a closed plane figure known as a polygon. The formula... Full Answer >Filed Under: