The sum of the angles of a quadrilateral is 360

​Angle Sum Property

Types of Quadrilaterals and their Properties

​Trapezium

One pair of opposite sides of a trapezium is parallel

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Diagonals bisect each other​

​Parallelogram

​Diagonal of a parallelogram divides it into 2 congruent triangles.

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Opposite sides of a parallelogram are equal

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Opposite angles of a parallelogram are equal.

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Diagonals of a parallelogram bisect each other

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 if a pair of opposite sides are equal and parallel then the quadrilateral is a parallelogram.

​Kite

​Two pairs of adjacent sides are equal

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Diagonals are perpendicular bisectors of each other

​Rectangle

​It is a parallelogram where all the angles are right angles

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​Opposite sides are equal

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​Opposite sides are parallel

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Diagonals are equal

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Diagonals bisect each other

​Rhombus

​It is a parallelogram where all sides are equal

Opposite sides are parallel

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Opposite angles are equal

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Diagonals of a rhombus are perpendicular bisectors of each other

​Square

​It is a parallelogram where all sides are equal

All angle are right angles

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Opposite sides are parallel

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Diagonals are equal

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Diagonals are perpendicular bisectors of each other

​Midpoint Theorem

​The line segment joining the midpoints of 2 sides of a triangle is half of the 3rd side and parallel to it.

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​The converse of the midpoint theorem states that ” if a line is drawn through the midpoint of one side of a triangle, and parallel to the other side, it bisects the third side”

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