This document defines and describes various types of quadrilaterals. It begins with definitions of parallelograms, rhombi, rectangles, squares, kites, trapezoids, and isosceles trapezoids. It then provides a tree diagram and Venn diagram illustrating the relationships between different types of quadrilaterals. The remainder of the document provides details on the properties of each type of quadrilateral. It was created by Harshadeep Pahurkar, a 9th grade student at Yashodham Public School, to teach types of quadrilaterals and their properties in mathematics.

1. By-Harshadeep Pahurkar

2. Contents:-

 Definitions Of Quadrilaterals.
 Types Of Quadrilateral(Tree Diagram).
 Types Of Quadrilateral(Venn Diagram).
 Properties Of Quadrilaterals.
 Parallelogram.
 Rhombus.
 Rectangle.
 Square.
 Kite.
 Trapezium.
 Isosceles Trapezium.
 Thank You.
 Info Of Creator.
 Credits.

3. Definitions Of
Quadrialterals

Parallelograms:-
a four-sided plane rectilinear figure with opposite
sides parallel.
Rhombus:-
a quadrilateral all of whose sides have the same
length.
Rectangle:-
a plane figure with four straight sides and four right
angles, especially one with unequal adjacent sides, in
contrast to a square.

4. Definitions Of
Quadrialterals

Square:-
a plane figure with four equal straight sides and four
right angles.
Kite:-
a kite is a quadrilateral whose four sides can be
grouped into two pairs of equal-length sides that are
adjacent to each other. In contrast, a parallelogram
also has two pairs of equal-length sides, but they are
opposite each other rather than adjacent.

5. Definitions Of
Quadrialterals

Trapezium:-
a quadrilateral with one pair of sides parallel.
Isosceles Trapezium:-
an isosceles trapezoid (isosceles trapezium in
British English) is a convex quadrilateral with a line
of symmetry bisecting one pair of opposite sides,
making it automatically a trapezoid.

6. Types Of Quadrilateral
(Tree Diagram)


7. Types Of Quadrilaterals
(Venn Diagram)


8. Properties Of
Quadrilaterals(To Be

Covered)
 Parallelogram
 Rhombus.
 Rectangle.
 Square.
 Kite.
 Trapezium.
 Isosceles Trapezium.

9. Parallelogram

 Opposite sides are
congruent (AB = DC).
 Opposite angels are
congruent (D = B).
 Consecutive angles are
supplementary (A + D =
180°).
 If one angle is right,
then all angles are right.
 The diagonals of a
parallelogram bisect
each other.

10. Rhombus

 All sides are congruent by
definition.
 The diagonals bisect the
angles.
 The diagonals are
perpendicular bisectors of
each other.
 All the properties of a
parallelogram apply (the
ones that matter here are
parallel sides, opposite
angles are congruent, and
consecutive angles are
supplementary).

11. Rectangle

 All the properties of a
parallelogram apply (the
ones that matter here
are parallel sides,
opposite sides are
congruent, and diagonals
bisect each other).
 All angles are right
angles by definition.
 The diagonals are
congruent.

12. Square

 All the properties of a
rhombus apply (the ones that
matter here are parallel sides,
diagonals are perpendicular
bisectors of each other, and
diagonals bisect the angles).
 All the properties of a
rectangle apply (the only one
that matters here is diagonals
are congruent).
 All sides are congruent by
definition.
 All angles are right angles by
definition.

13. Kite

 The diagonals of a
kite meet at a right
angle.
 Kites have exactly one
pair of opposite angles
that are congruent.

14. Trapezium

 At least one pair of
opposite sides are
equal.
 Diagonals bisect each
other.
 At least one pair of
opposite angles are
equal.

15. Isosceles Trapezium

 Opposite sides of an
isosceles trapezoid are
the same length
(congruent).
 The angles on either
side of the bases are
the same size or
measure (also
congruent).
 The diagonals are
congruent.

17. Info. Of Creator.

 Name:-Harshadeep Pahurkar.
 Class:-9th(Blue).
 Roll No:-911.
 Subject:-Mathematics.
 Topic:-Types Of Quadrilaterals With Properties.
 School:-Yashodham Public School.

18. TYPES OF QUADRILATERALS
Designed and developed by:-
Harshadeep Pahurkar
Created At:-
HP-PC
Powered By:-
Microsoft Office 2010
Template Of Presentation:-
Hardcover
Template By:-
Robert Johnson
Subject:-Mathematics Applicable For 7th,8thAnd 9th.
Special Thanks To:-
Mathware
Graphjam
Coolmath
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