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Maths Protfolio Activity

The document provides an overview of quadrilaterals, defining them as polygons with four sides, angles, and vertices, with a total interior angle sum of 360 degrees. It categorizes various types of quadrilaterals including parallelograms, rectangles, squares, rhombuses, trapezoids, and kites, detailing their properties. Additionally, it discusses the characteristics of diagonals and symmetry in different quadrilaterals.

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5 views7 pages

Maths Protfolio Activity

The document provides an overview of quadrilaterals, defining them as polygons with four sides, angles, and vertices, with a total interior angle sum of 360 degrees. It categorizes various types of quadrilaterals including parallelograms, rectangles, squares, rhombuses, trapezoids, and kites, detailing their properties. Additionally, it discusses the characteristics of diagonals and symmetry in different quadrilaterals.

Uploaded by

djha62166
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
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Download as PDF, TXT or read online on Scribd
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Name: Darsh Mohan Murari Jha

Std: 8th
Div: F
Roll no.: 13th
House: Blue
School Name: Blossom Public School (New) Narhe
Understanding
Quadrilaterals

And the types of quadrilaterals


Definition:
•A quadrilateral is a polygon with four sides, four angles,
and four vertices.
•The sum of the interior angles of a quadrilateral is always
360 degrees.

Types of Quadrilaterals:
Parallelogram: Opposite sides are parallel and equal in length. Opposite angles are equal.

Rectangle: All angles are right angles (90 degrees). Opposite sides are equal and parallel.

Square: All sides are equal, and all angles are right angles. It is a special type of rectangle and rhombus

Rhombus: All sides are equal, but angles are not necessarily 90 degrees. Opposite angles are equal.

Trapezoid (Trapezium): Only one pair of opposite sides is parallel

Kite: Two pairs of adjacent sides are equal. One pair of opposite angles is equal.
Properties:

Diagonals: The line segments connecting opposite


vertices. Different quadrilaterals have different
properties related to their diagonals.

Symmetry: Some quadrilaterals have lines of symmetry


(e.g., square, rectangle), while others do not (e.g.,
trapezoid).
Types of
Quadrilaterals:-
1.Parallelogram: A quadrilateral with
each pair of opposite sides are
parallel;
Properties:
1. Opposite sides are equal.
2. Opposite angles are equal.
3. Diagonals bisect one another.
2.Rhombus: A parallel with sides of equal
length;
Properties:
1. All the properties of a parallelogram.
2. Diagonals are perpendicular to each other

3.Rectangle: A parallelogram with a right


A B
angle;
Properties:
1. All the properties of a parallelogram.
2. Each of the angle is a right angle.
3. Diagonals are equal. D C
4.Square: A rectangle with sides of equal
length.
Properties: All the properties of a
parallelogram, rhombus and a rectangle

Kite: A quadrilateral with exactly two pairs of


equal consecutive sides.
Properties: 1.The diagonals are perpendicular to
one another.
2.One of the diagonals bisects the other.
3.In the figure m LB = LD but m LA = m LC

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