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Q u a d r i l a t e r a l s
Page 2


Q u a d r i l a t e r a l s
What is a Quadrilateral?
D e f i n i t i o n
A quadrilateral is a four-sided closed figure with four 
angles.
O r i g i n
The word comes from Latin:
quadri ³ four
latus ³ side
E x a m p l e s : square, rectangle, parallelogram, rhombus, kite, trapezium.
Page 3


Q u a d r i l a t e r a l s
What is a Quadrilateral?
D e f i n i t i o n
A quadrilateral is a four-sided closed figure with four 
angles.
O r i g i n
The word comes from Latin:
quadri ³ four
latus ³ side
E x a m p l e s : square, rectangle, parallelogram, rhombus, kite, trapezium.
R e c t a n g l e s
1
D e f i n i t i o n
A rectangle is a quadrilateral in which all angles are right angles (90°).
2
P r o p e r t i e s
All angles are 90°
Opposite sides are equal in length
Opposite sides are parallel
Page 4


Q u a d r i l a t e r a l s
What is a Quadrilateral?
D e f i n i t i o n
A quadrilateral is a four-sided closed figure with four 
angles.
O r i g i n
The word comes from Latin:
quadri ³ four
latus ³ side
E x a m p l e s : square, rectangle, parallelogram, rhombus, kite, trapezium.
R e c t a n g l e s
1
D e f i n i t i o n
A rectangle is a quadrilateral in which all angles are right angles (90°).
2
P r o p e r t i e s
All angles are 90°
Opposite sides are equal in length
Opposite sides are parallel
Diagonals of a Rectangle
Equal Length
The diagonals of a rectangle always have the same length.
Bisect Each Other
The diagonals of a rectangle always intersect at their midpoints.
Page 5


Q u a d r i l a t e r a l s
What is a Quadrilateral?
D e f i n i t i o n
A quadrilateral is a four-sided closed figure with four 
angles.
O r i g i n
The word comes from Latin:
quadri ³ four
latus ³ side
E x a m p l e s : square, rectangle, parallelogram, rhombus, kite, trapezium.
R e c t a n g l e s
1
D e f i n i t i o n
A rectangle is a quadrilateral in which all angles are right angles (90°).
2
P r o p e r t i e s
All angles are 90°
Opposite sides are equal in length
Opposite sides are parallel
Diagonals of a Rectangle
Equal Length
The diagonals of a rectangle always have the same length.
Bisect Each Other
The diagonals of a rectangle always intersect at their midpoints.
S q u a r e s
D e f i n i t i o n
A square is a quadrilateral in which:
All angles are 90°
All sides are of equal length
Every square is a rectangle, but not every 
rectangle is a square.
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FAQs on PPT: Quadrilaterals - Mathematics Class 8- New NCERT (Ganita Prakash)

1. What are the different types of quadrilaterals?
Ans. The different types of quadrilaterals include squares, rectangles, trapezoids, parallelograms, rhombuses, and kites. Each type has its own unique properties. For example, a square has four equal sides and four right angles, while a rectangle has opposite sides that are equal and also has four right angles.
2. How can we determine the sum of the interior angles of a quadrilateral?
Ans. The sum of the interior angles of a quadrilateral can be determined using the formula (n - 2) × 180°, where n is the number of sides. For a quadrilateral, n is 4, so the calculation is (4 - 2) × 180° = 2 × 180° = 360°. Therefore, the sum of the interior angles of any quadrilateral is 360°.
3. What is the difference between a parallelogram and a rectangle?
Ans. A parallelogram is a quadrilateral where opposite sides are parallel and equal in length. In contrast, a rectangle is a specific type of parallelogram that has four right angles. While all rectangles are parallelograms, not all parallelograms are rectangles because they do not necessarily have right angles.
4. How do the properties of a rhombus differ from those of a square?
Ans. Both a rhombus and a square are types of quadrilaterals with all sides equal in length. However, a square has four right angles, whereas a rhombus does not necessarily have right angles. The diagonals of a square are equal in length and bisect each other at right angles, while the diagonals of a rhombus also bisect each other at right angles but are not necessarily equal in length.
5. What is a trapezoid, and how is it classified?
Ans. A trapezoid is a type of quadrilateral that has at least one pair of parallel sides. Trapezoids can be classified into two types: isosceles trapezoids, which have non-parallel sides that are equal in length, and scalene trapezoids, which have no sides of equal length. The angles between the parallel sides can also vary, leading to different trapezoidal shapes.
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