Made by:- Anmol PantClass:-9th C

Admn. No.-2789

TYPES OF QUADRILATERA

L AND ITS PROPERTIES

What are quadrilaterals & their angle sum property

Quadrilaterals are polygons

with four sides

The sum of the measures of the angles of a quadrilateral

is 360 degrees

NamesHere are

some of the basic types of Quadrilaterals

Kite

Rhombus

Trapezium

Parallelogram

RectangleSquare

2 pairs adjacent congruent sides

1 pair parallel sides2 pairs parallel

sides

4 right angles4 congruent sidesnon-parallel sides are congruent

Quadrilaterals

Parallelogram

Rectangle

Rhombus

Square

Isosceles Trapezoid

Trapezoid

Kite

Illustrations on the different types of Quadrilaterals to follow.

A trapezoid (Trapezium) is a quadrilateral with one pair of parallel sides. 

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A rhombus is a type of parallelogram, and what distinguishes its shape is that all four of its sides are Congruent. There are several formulas for the rhombus that have been derived by the formulae for the parallelogram.

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A parallelogram is a four-sided plane rectilinear figure with opposite sides parallel.

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A rectangle is a parallelogram with four right angles. A rectangle is a parallelogram, its opposite sides must be congruent and it must satisfy all other properties of parallelograms .

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Rectangle

Hi, I am a 

Square

A square has the properties of a rhombus and a rectangle. Its sides intersect at 90° and all four sides are congruent. 

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a Kite

A kite is a 4-sided flat shape with straight sides that:* has two pairs of sides.* each pair is adjacent sides (they meet) that are equal in length. Also, the angles are equal where the pairs meet. Diagonals (dashed lines) meet at a right angle, and one of the diagonal bisects (cuts equally in half) the other.

ISOSCELES TRAPEZIUM

• An isosceles trapezoid is a trapezoid where the legs have equal length. It can also be defined as a convex quadrilateral with a line of symmetry bisecting one pair of opposite sides, making it automatically a trapezoid.

The Properties of Quadrilaterals

PROPERTIES OF A QUADRILATERAL

• Interior Angle Sum Property: According to this property, the sum of the interior angles of the quadrilateral is 360°

• Exterior Angle Sum Property: According to this property, the sum of the exterior angles of the quadrilateral is 360°

Sides

Trapezoid

Parallelogram

RectangleSquare

Rhombus

Trapezium

Sides

1 pair of parallel sides 2 pairs of

parallel sides and opposite sides equal.

2 pairs of parallel sides and opposite sides equal.

2 pairs of parallel sides

and all sides equal.

2 pairs of parallel sides

and all sides equal.

no pair of parallel sides

Angles

Trapezoid

Parallelogram

RectangleSquare

Rhombus

Kite

Angles

All angles are right angles

(90o)All angles are right angles

(90o)

Opposite angles are

equal.

Opposite angles are

equal.

One opposite pair of equal

angles

Diagonals

Parallelogram

RectangleSquare

Rhombus

Kite

Diagonals

Diagonals bisect

Diagonals equal

Diagonals bisect

at right angles

Diagonals bisect at right angles

Diagonals cross at

right angles

Trapezoid

All Three

Parallelogram

RectangleSquare

Rhombus

Kite

Sides, angles and

diagonals

Trapezoid

Trapezium 1

Isosceles TrapezoidGeneral Trapezoid

Right-angled TrapezoidRight-angled Trapezoid

Angles of Trapezoids

One pair of equal sides

and two pairs of equal angles.

Sum of the angles is 360

degrees

Trapezium 2

Isosceles TrapezoidGeneral Trapezoid

Right-angled TrapezoidRight-angled Trapezoid

Diagonals

Diagonals of equal length

General Trapezoid

Median of a Trapezoid

The MEDIAN of a trapezoid is the line segment that joins the

midpoints of the two non-parallel sides of the trapezoid.

The length of the MEDIAN a trapezoid is the line segment that

joins the midpoints of the two non-parallel sides of the

trapezoid.

• Two opposite sides (the bases) are parallel.

• The two other sides (the legs) are of equal length.

• The diagonals are also of equal length. • The base angles of an isosceles trapezoid

are equal in measure

PROPERTIES OF AN ISOSCELES TRAPEZIUM