Name :- Tanvi
Class :- 9thc
Roll no :- 20
Topic :- Quadrilaterals and Their Types
School :- Doon Bharti Public School
Quadrilaterals and Their
Types
This presentation will introduce the concept of quadrilaterals, their
defining properties, and the various types that exist. We will explore
the characteristics, applications, and practical examples of each type.
Introduction to Quadrilaterals
Definition Examples
Quadrilaterals are closed geometric figures formed by four Familiar examples include squares, rectangles, and
line segments, with four angles and four vertices. They are trapezoids. The defining characteristic of quadrilaterals is
a foundational shape in geometry, with applications in their four sides.
various fields.
Properties of
Quadrilaterals
1 Sum of Angles 2 Diagonals
The sum of the interior Quadrilaterals have two
angles of any quadrilateral diagonals, which are line
is always 360 degrees. segments connecting
opposite vertices.
3 Sides and Vertices
They have four sides and four vertices, where sides intersect.
Types of Quadrilaterals
1 Quadrilateral
2 Parallelogram
3 Rectangle
4 Square
5 Rhombus
Parallelograms
Opposite Sides Opposite Angles Equal
Parallel
The defining characteristic of Opposite angles within a
parallelograms is that parallelogram are also equal
opposite sides are parallel and in measure.
equal in length.
Diagonals Bisect
The diagonals of a parallelogram bisect each other, meaning they
cut each other in half at their point of intersection.
Rectangles
All Angles 90° Opposite Sides Parallel
Rectangles have all four angles Like parallelograms, rectangles
equal to 90 degrees, making have opposite sides parallel and
them right-angled quadrilaterals. equal in length.
Diagonals Equal
The diagonals of a rectangle are
equal in length.
Rhombi
Four Equal Sides Diagonals Bisect Angles
Rhombi are characterized by having all four sides equal in length, Each diagonal of a rhombus bisects two opposite angles, dividing
making them equilateral quadrilaterals. them into equal angles.
1 2 3
Diagonals Perpendicular
The diagonals of a rhombus intersect at right angles, creating
perpendicular bisectors.
Key Takeaways
Quadrilateral Properties Types of Quadrilaterals Practical Applications
Quadrilaterals possess distinct Different types of quadrilaterals exist, Quadrilaterals find widespread
properties related to their angles, including parallelograms, rectangles, applications in various fields, from
diagonals, and sides. and rhombi, each with unique architecture and engineering to
characteristics. design and art.
Conclusion
Understanding quadrilaterals and their properties is fundamental in
geometry and has practical implications across various disciplines. By
exploring their characteristics, we gain a deeper understanding of the
building blocks of geometric shapes and their role in the world around
us.
