Understanding Quadrilaterals Class 8 Notes- Chapter 3

What are Quadrilaterals?

Quadrilaterals are one type of polygon which has four sides and four vertices and four angles along with 2 diagonals. There are various types of quadrilaterals.

Types of Quadrilaterals

In mathematics, we can see various types of quadrilaterals and some are mentioned below:

  • Parallelogram- In this, each pair of opposite sides of the figure are parallel in nature. In here, the opposite sides and angles are equal to each other. In the case of diagonals, they are equal in length and bisect each other.
  • Rhombus- It is the type of quadrilateral where, just like the sides of a parallelogram, it has equal length. This polygon follows every property of the parallelogram but except one, the diagonals bisect each other in right angles.
  • Rectangle- This quadrilateral is a parallelogram and has sides which make right angles with each other.
  • Square- This quadrilateral can be a rectangle having the sides of equal length. This is the polygon which follows all the properties of parallelogram, rectangle, and rhombus.
  • Kites- A quadrilateral having two pairs of equal and consecutive sides and they have diagonals perpendicular each other.

Important Questions

  1. Explain the reason behind square being a:
    • Quadrilateral
    • Rhombus
    • Rectangle
    • Parallelogram
  1. Name the quadrilaterals which have diagonals:
    • Bisecting each other
    • Perpendicularly bisecting each other
    • Are equal
  1. Provide explanations why rectangle could be a convex quadrilateral.
  2. In a parallelogram, two adjacent angles measurement are in the ratio 3 : 2. Calculate the measurements of each angle of the parallelogram.
  3. Calculate the measurement of each angle of the parallelogram when its two adjacent angles of a parallelogram have equal measure.

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Practise This Question

If (8x+1)3x+2=2, then the value of 'x' is