Math Revision

Properties of trapezium

one pair of opposite sides are parallel

Properties of parallelogram

both pair of opposite sides are equal in length

both pairs of opposite angles are equal

the diagonals bisect each other

Properties of rectangle

a special type of parallelogram

both pairs of opposite sides are equal in length

all angles are right angles

the diagonals are equal in length and bisect each other

Properties of kite

one pair of opposite angles is equal

the diagonals intersect at right angles

the diagonal that passes through the two equal angles is bisected by the other diagonal

Properties of rhombus

a special type of parallelogram and kite

both pairs of opposite angles are parallel

both pairs of opposite angles are equal

the diagonals bisect each other at right angles

each diagonal bisects the two interior angles through which it passes

Properties of square

a special type of parallelogram, rhombus, rectangle and kite

all angles are right angles

the diagonals are equal in length and bisect each other at right angles

each diagonal bisects the two interior angles through which it passes and each angle formed equals 45 degrees

Definition of a trapezium

a quadrilateral with only one pair of parallel sides

Definition of a parallelogram

a quadrilateral with both pairs of opposite sides of parallel

Definition of a rectangle

quadrilateral with both pairs of opposite sides parallel

Definition of a kite

a quadrilateral with two pairs of adjacent sides equal in length

Definition of a rhombus

a quadrilateral with all sides equal in length

it can also be defined as:

• a parallelogram wit adjacent sides equal

• a kite with all sides equal in length

Definition of a square

a quadrilateral with all sides equal and a right angle

It can also be defined as:

• a parallelogram with all sides equal

• a right angle

• a rectangle with all sides equal

• a rhombus with a right angle