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Maths Project
Types Of Quadrilaterals

A quadrilateral is a plane figure bounded
by four line segments.
The origin of the word "quadrilateral"
is the two Latin words quadri, a variant
of four, and latus, meaning "side.“
Sum of the interior angles of a
quadrilateral is 360 °,i.e.,
<A+<B+<C+<D=360 °.
Introduction:-

Types Of Quadrilaterals
(Tree Diagram) :-

 Parallelogram
 Rhombus.
 Rectangle.
 Square.
 Kite.
 Trapezium.
 Isosceles Trapezium.
Properties Of Quadrilaterals
(To Be Covered):-

Parallelogram:-
A parallelogram is a quadrilateral with both
pair of opposite sides parallel.
 Opposite sides and
angles are equal.
 Consecutive angles are
supplementary.
 The diagonals of a
parallelogram bisect
each other.
 Each diagonal divides it
into two congruent
triangles.

Rhombus:-
A parallelogram in which all four sides are
equal is a rhombus.
 All sides are congruent
by definition.
 The diagonals bisect the
angles.
 The diagonals are
perpendicular bisectors
of each other.
 The diagonals also
bisect the interior
angles.

Rectangle:-
A parallelogram in which all four angles are
right angles is a rectangle.
 All angles are right
angles.
 The diagonals of
rectangle are equal.
 Diagonals also
bisect each other.

Square:-
Aparallelogram in which all four sides are equal and
all four angles are right angles is a Square.
 All the properties of a
rhombus apply.
 All the properties of a
rectangle apply.
 All sides are equal by
definition.
 All angles are right
angles by definition.
 Diagonals bisect
angles.

Kite:-
A quadrilateral in which the two pairs of
adjacent sides are equal is a kite.
 The diagonals of a kite
meet at a right angle.
 Kites have exactly one
pair of opposite angles
that are equal.
 Adjacent sides of a
kite are equal.
 One diagonal divides the
kite into two congruent
triangles.

Trapezium :-
A quadrilateral with exactly one pair
of parallel sides is a trapezium.
 One pair of opposite
sides are parallel.
 Co-interior angles
are supplementary.

Isosceles Trapezium:-
A trapezium in which non-parallel sides are
equal is called Isosceles Trapezium.
 Non-parallel sides of
an isosceles
trapezium are equal.
 The angles on same
base are equal.
 Diagonals are equal.



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Types of quadrilateral by pratik pathak

  • 1. Maths Project Types Of Quadrilaterals
  • 2.  A quadrilateral is a plane figure bounded by four line segments. The origin of the word "quadrilateral" is the two Latin words quadri, a variant of four, and latus, meaning "side.“ Sum of the interior angles of a quadrilateral is 360 °,i.e., <A+<B+<C+<D=360 °. Introduction:-
  • 4.
  • 5.   Parallelogram  Rhombus.  Rectangle.  Square.  Kite.  Trapezium.  Isosceles Trapezium. Properties Of Quadrilaterals (To Be Covered):-
  • 6.  Parallelogram:- A parallelogram is a quadrilateral with both pair of opposite sides parallel.  Opposite sides and angles are equal.  Consecutive angles are supplementary.  The diagonals of a parallelogram bisect each other.  Each diagonal divides it into two congruent triangles.
  • 7.  Rhombus:- A parallelogram in which all four sides are equal is a rhombus.  All sides are congruent by definition.  The diagonals bisect the angles.  The diagonals are perpendicular bisectors of each other.  The diagonals also bisect the interior angles.
  • 8.  Rectangle:- A parallelogram in which all four angles are right angles is a rectangle.  All angles are right angles.  The diagonals of rectangle are equal.  Diagonals also bisect each other.
  • 9.  Square:- Aparallelogram in which all four sides are equal and all four angles are right angles is a Square.  All the properties of a rhombus apply.  All the properties of a rectangle apply.  All sides are equal by definition.  All angles are right angles by definition.  Diagonals bisect angles.
  • 10.  Kite:- A quadrilateral in which the two pairs of adjacent sides are equal is a kite.  The diagonals of a kite meet at a right angle.  Kites have exactly one pair of opposite angles that are equal.  Adjacent sides of a kite are equal.  One diagonal divides the kite into two congruent triangles.
  • 11.  Trapezium :- A quadrilateral with exactly one pair of parallel sides is a trapezium.  One pair of opposite sides are parallel.  Co-interior angles are supplementary.
  • 12.  Isosceles Trapezium:- A trapezium in which non-parallel sides are equal is called Isosceles Trapezium.  Non-parallel sides of an isosceles trapezium are equal.  The angles on same base are equal.  Diagonals are equal.
  • 13.
  • 14.