This document defines and compares different types of quadrilaterals. It discusses their defining properties, including: - Quadrilaterals have four sides and the interior angles sum to 360 degrees. - Specific types include parallelograms, rectangles, squares, rhombuses, trapezoids, and kites. Each have unique properties like pairs of parallel sides, right angles, or congruent sides. - Trapezoids can be either isosceles, with two equal legs, or general with unequal legs. Properties like median length and diagonal length are described.

1. Made by:- Anmol Pant
Class:-9th C
Admn. No.-2789
TYPES OF QUADRILATERAL
AND ITS PROPERTIES

2. 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

3. Names
Here are
some of the
basic types of
Quadrilaterals
Kite
Rhombus
Trapezium
Parallelogram
RectangleSquare

4. 2 pairs adjacent
congruent sides
1 pair parallel sides
2 pairs parallel
sides
4 right angles4 congruent sidesnon-parallelsides
are congruent
Quadrilaterals
Parallelogram
Rectangle
Rhombus
Square
Isosceles
Trapezoid
Trapezoid
Kite

5. Illustrations on
the different
types of
Quadrilaterals
to follow.

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

7. 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.

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

9. 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 .

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

11. 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.

12. 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.

13. The Properties of
Quadrilaterals

14. 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

15. Sides
Trapezoid
Parallelogram
Rectangle
Square
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

16. Angles
Trapezoid
Parallelogram
Rectangle
Square
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

17. Diagon
als
Parallelogram
Rectangle
Square
Rhombus
Kite
Diagonals
Diagonals
bisect
Diagonals
equal
Diagonals bisect
at right angles
Diagonals bisect
at right angles
Diagonals
cross at
right angles
Trapezoid

18. All
Three
Parallelogram
Rectangle
Square
Rhombus
Kite
Sides, angles
and
diagonals
Trapezoid

19. Trapezi
um 1
Isosceles TrapezoidGeneral Trapezoid
Right-angled Trapezoid
Right-angled Trapezoid
Angles of
Trapezoids
One pair of
equal sides
and two pairs
of equal
angles.
Sum of the
angles is 360
degrees

20. Trapezi
um 2
Isosceles TrapezoidGeneral Trapezoid
Right-angled Trapezoid
Right-angled Trapezoid
Diagonals
Diagonals of
equal length

21. 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.

22. • 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