properties of quadrilaterals

Today we’ll learn more about

a. Squares

b. Rectangles

c. Parallelograms

d. Trapezium

e. Rhombusf. Kite

SquareProperties of Squares

i) Opposite sides are equal.

ii) Opposite angles are equal.

iii) Diagonals bisect each other at right

angles.

iv) Diagonals are perpendicular to each

other.

v) Each of the angles is a right angle.

vi) Diagonals are equal.

COOL FACTS ABOUT

SQUARES• A square is a parallelogram.• A square is a rhombus.• A square is a trapezium.• A square is a rectangle.• A square has 4 lines of reflectional symmetry.• The perimeter of a square is 4 times the length of

one side.• The diagonals of a square bisect each other at 90

degrees and are perpendicular.• A square has a larger area than all other

quadrilaterals with the same perimeter.

ParallelogramThe properties of a parallelogram are:Opposite sides are equalOpposite angles are equalDiagonals bisect each otherOpposite sides of a parallelogram are parallel.

• Adjacent sides of a parallelogram are supplementary. This means that their measures add up to 180 degrees.

KITEProperties of a kite

1. The diagonals are perpendicular to one another.

2. The longer diagonal bisects the shorter one.

The diagonals of a kite intersect to form 90 angles.

TRAPEZIUMProperties of a trapezium

A trapezium has one pair of

parallel sides.

That's it. No sides need to be

congruent and no angles need to be

congruent. Nothing special happens

with the diagonals either.

AREA OF A TRAPEZIUM

RECTANGLEOpposite sides of a rectangle are the same

length (congruent). The angles of a rectangle are all congruent

(the same size and measure.) A rectangle has four right angles. Opposite angles of a rectangle are congruent.Opposite sides of a rectangle are parallel.

The diagonals bisect each other.

RHOMBUS

• The intersection of the diagonals of a

rhombus form 90 degree (right) angles. This

means that they are perpendicular. The

diagonals of a rhombus bisect each other.

This means that they cut each other in half.

• Adjacent sides (ones next to each other)

of a rhombus are supplementary. This

means that their measures add up to 180

degrees.