# Quadrilaterals

## A quadrilateral has four sides, vertices and angles. The sum of four angles in a quadrilateral is always 360°. Types of quadrilaterals are trapezium, parallelogram, rectangle, rhombus, square and kite. Properties of a parallelogram: 1. A diagonal of a parallelogram divides it into two congruent triangles. 2. Opposite sides of a parallelogram are equal. 3. Opposite angles of a parallelogram are equal. 4. Diagonals of a parallelogram bisect each other. A quadrilateral is a parallelogram, if: 1. each pair of opposite sides of a quadrilateral is equal. 2. each pair of opposite angles of a quadrilateral is equal. 3. the diagonals of a quadrilateral bisect each other. 4. the pair of opposite sides is equal and parallel. Properties of a rectangle: 1. The opposite sides of a rectangle are equal and parallel. 2. The measure of each angle in a rectangle is 90°. 3. Diagonals of a rectangle bisect each other and are equal. Properties of a square: 1. All sides of a square are equal. 2. Opposite sides of a square are parallel. 3. Each angle of a square is equal to 90°. 4. Diagonals of a square bisect each other and are equal. Properties of a rhombus: 1. All four sides of a rhombus are equal. 2. The pair of opposite sides are parallel. 3. The diagonals of a rhombus bisect each other and are perpendicular. 4. The pair of adjacent angles are supplementary. Properties of a trapezium: 1. One pair of opposite sides is parallel. Properties of a kite: 1. Two pairs of distinct adjacent sides are equal. 2. Diagonals of a kite are perpendicular. A line segment joining the mid-points of two sides of a triangle is parallel to the third side. A line drawn through the mid-point of one side of a triangle, parallel to another side, bisects the third side.

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