Understanding Quadrilateral NCERT Class 8 Maths | Takshila Learning

Understanding Quadrilateral NCERT Class 8 Maths | Takshila Learning

Understanding Quadrilateral Class 8 Maths :-

What is Quadrilateral?

It is a polygon which has only 4 sides or edges. The word quadrilateral means a play of four sides. It can be a regular shape like a square, trapezoid etc.

Since the figures above have four sides, they all are quadrilateral.

 Elements of quadrilateral

• Sides- line segment joining the points.
• Vertices– The point of intersection of two consecutive sides.
• Opposite sides– Two sides of a quadrilateral having no common endpoints.
• Opposite angles-Two angles of a quadrilateral not having common arms,
• Diagonal– line segment obtained by joining the opposite vertices.
• Adjacent angles– Two angles of a quadrilateral having common arms,
• Adjacent sides– two sides of a quadrilateral having common endpoints

UNDERSTANDING QUADRILATERALS

1 Parallelogram

• It is a quadrilateral with opposite parallel sides.
• In this opposite sides are equal.
• In this opposite angles are equal.
• Diagonal bisects each other.

2 Rhombus

• It is a quadrilateral with equal sides with equal length.
• It has all the properties of a parallelogram.
• Diagonals intersect and perpendicular to each other

3 Rectangle

• It is a quadrilateral with right angles.
• It has all the properties of a parallelogram.
• Each angle is right angles.
• It has diagonals of equal length.

Check out NCERT Class 8 Maths Square and Square roots

4 Square

• It is a  rectangle with equal sides and equal length.
• Square has all the properties of parallelogram, rhombus, and rectangles.

5 Kite

• It is a quadrilateral with only two pairs of equal consecutive sides.
• In a kite, diagonals are perpendicular to one another.
• One of the diagonal bisects the other.

In the above figure

but 

6 Trapezium

It is a quadrilateral which is having exactly one pair of parallel sides.

In the above figure ABCD, AD II BC and AB is not parallel to CD.

If nonparallel sides’ length is equal, then it is known as an isosceles trapezium.

Check out CBSE Class 8 Maths Exponents and Power

Some other points

Diagonal

• It refers to the single closed curve which is made of line segments.
• It is a line segment that connects two non-consecutive vertices of a polygon.

Convex

In a convex, the measure of each angle is less than 180 degree.

Concave

In a concave, the measure of at least one angle is more than 180 degree.

To know more about Quadrilaterals and practice numerical of Quadrilaterals, click Class 8th Maths.

Check out NCERT Maths Solutions for Class 8

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Tag: Understanding Quadrilateral, NCERT Class 8 Maths, What is Quadrilateral?