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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 an octagon have?

A: An octagon has 20 diagonals. A shape's diagonals are determined by counting its number of sides, subtracting three and multiplying that number by the origi... 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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## How many diagonals does a triangle have?

A: A triangle has zero diagonals. Diagonals must be created across vertices in a polygon, but the vertices must not be adjacent to one another. A triangle has... Full Answer >Filed Under: