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Understanding Quadrilaterals Class 8 PPT

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CURVES
? A plane curve is a curve that lies in a single plane or a plane 
surface like paper. A plane curve may be closed or open.
Page 2


CURVES
? A plane curve is a curve that lies in a single plane or a plane 
surface like paper. A plane curve may be closed or open.
POLYGONS
Polygon is a closed
plane figure bounded by
three or more straight sides
that meet in pairs in the same
number of vertices, and do
not intersect other than at
these vertices.
Page 3


CURVES
? A plane curve is a curve that lies in a single plane or a plane 
surface like paper. A plane curve may be closed or open.
POLYGONS
Polygon is a closed
plane figure bounded by
three or more straight sides
that meet in pairs in the same
number of vertices, and do
not intersect other than at
these vertices.
PARTS OF A POLYGON
- The endpoints of the sides of polygons are called vertices. When naming a 
polygon, its vertices are named in consecutive order either clockwise or 
counterclockwise. 
- Consecutive sides are two sides that have an endpoint in common. The four-sided 
polygon in Figure below could have been named ABCD, BCDA, or ADCB, for 
example. It does not matter with which letter you begin as long as the vertices are 
named consecutively. Sides AB and BC are examples of consecutive sides. 
There are four pairs of consecutive sides in this polygon.
Page 4


CURVES
? A plane curve is a curve that lies in a single plane or a plane 
surface like paper. A plane curve may be closed or open.
POLYGONS
Polygon is a closed
plane figure bounded by
three or more straight sides
that meet in pairs in the same
number of vertices, and do
not intersect other than at
these vertices.
PARTS OF A POLYGON
- The endpoints of the sides of polygons are called vertices. When naming a 
polygon, its vertices are named in consecutive order either clockwise or 
counterclockwise. 
- Consecutive sides are two sides that have an endpoint in common. The four-sided 
polygon in Figure below could have been named ABCD, BCDA, or ADCB, for 
example. It does not matter with which letter you begin as long as the vertices are 
named consecutively. Sides AB and BC are examples of consecutive sides. 
There are four pairs of consecutive sides in this polygon.
PARTS OF A POLYGON
A diagonal of a polygon is any segment that joins two nonconsecutive vertices. 
Figure shows five-sided polygon QRSTU. Segments QS , SU , UR , RT and QT are 
the diagonals in this polygon. 
Diagonals of a polygon can be  found with the formula given below :
Page 5


CURVES
? A plane curve is a curve that lies in a single plane or a plane 
surface like paper. A plane curve may be closed or open.
POLYGONS
Polygon is a closed
plane figure bounded by
three or more straight sides
that meet in pairs in the same
number of vertices, and do
not intersect other than at
these vertices.
PARTS OF A POLYGON
- The endpoints of the sides of polygons are called vertices. When naming a 
polygon, its vertices are named in consecutive order either clockwise or 
counterclockwise. 
- Consecutive sides are two sides that have an endpoint in common. The four-sided 
polygon in Figure below could have been named ABCD, BCDA, or ADCB, for 
example. It does not matter with which letter you begin as long as the vertices are 
named consecutively. Sides AB and BC are examples of consecutive sides. 
There are four pairs of consecutive sides in this polygon.
PARTS OF A POLYGON
A diagonal of a polygon is any segment that joins two nonconsecutive vertices. 
Figure shows five-sided polygon QRSTU. Segments QS , SU , UR , RT and QT are 
the diagonals in this polygon. 
Diagonals of a polygon can be  found with the formula given below :
CLASSIFICATION OF POLYGONS
Polygons first fit into two general 
categories— convex and not convex
(sometimes called concave). 
A polygon is concave if there are two 
points somewhere inside it for which a 
segment with these as its endpoints 
cuts at least 2 of the sides of the 
polygon.
A polygon that is not concave is called 
convex
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FAQs on Understanding Quadrilaterals Class 8 PPT

1. What are the properties of a quadrilateral?
Ans. A quadrilateral is a polygon with four sides. Its properties include having four angles that add up to 360 degrees, opposite sides that are parallel, and opposite angles that are equal.
2. How do you classify quadrilaterals based on their properties?
Ans. Quadrilaterals can be classified into different types based on their properties. Some common classifications include parallelograms (opposite sides are parallel), rectangles (all angles are right angles), squares (all sides are equal and all angles are right angles), and rhombuses (all sides are equal).
3. What is the difference between a square and a rectangle?
Ans. A square is a type of rectangle, but it has additional properties. While both shapes have four right angles, a square also has all sides equal in length. In a rectangle, the opposite sides are equal in length, but not all sides are necessarily equal.
4. How do you determine if a quadrilateral is a parallelogram?
Ans. To determine if a quadrilateral is a parallelogram, you need to check if its opposite sides are parallel. If they are, then the quadrilateral is a parallelogram. Additionally, you can also check if the opposite sides are equal in length and if the opposite angles are equal.
5. Are all quadrilaterals polygons?
Ans. Yes, all quadrilaterals are polygons. A polygon is any closed figure with straight sides, and a quadrilateral fits this definition as it has four straight sides.
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