NCERT Solutions for Class 8 Mathematics Chapter 3: Understanding Quadrilaterals

NCERT Solutions for class 8 Mathematics Chapter 3 Understanding Quadrilaterals are provided in the article below. Some of the important topics in the Understanding Quadrilaterals chapter include:

  1. Area of Rectangle
  2. Area of Square
  3. Exterior Angles of Polygon
  4. Properties of Hexagon
  5. Types of Polygon
  6. Rhombus
  7. Diagonal formula

Download PDF: NCERT Solutions for Class 8 Mathematics Chapter 3 pdf


NCERT Solutions for Class 8 Mathematics Chapter 3

NCERT Solutions for Class 8 Mathematics Chapter 3 Understanding Quadrilaterals is given below.

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NCERT Solutions for Class 8 Mathematics

Quadrilateral is any figure that has 4 sides and whose interior angles are 360 degrees. Quadrilaterals are divided into several categories such as:

  • Square: A square is a quadrilateral, or a special type of parallelogram, with all of its sides equal.
  • Rectangle: A rectangle is a quadrilateral with parallel and equal opposite sides.
  • Parallelogram: A quadrilateral with opposite parallel sides is known as a parallelogram (and therefore opposite angles equal).
  • Rhombus: A quadrilateral with four equal-length sides is known as a rhombus. Because of its characteristic of equality of length, it is also known as an equilateral quadrilateral.
  • Trapezoid: A trapezium is a quadrilateral having at least one pair of parallel sides that is convex in shape.

Area of Square = a2

Area of Rectabgle = Length x Breadth

Area of Parallelogram = Base x height

Area of Rhombus = ½ x diagonal 1 x diagonal 2

Area of Trapezium = ½ x (a + b) x h


NCERT Solutions for Class 8 Maths Chapter 3 Exercises

NCERT Solutions for Class 8 Maths Chapter 3 Exercises are given below.

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CBSE X Related Questions

  • 1.
    In the adjoining figure, the slant height of the conical part is :

      • 4 cm
      • 7 cm
      • 5 cm
      • 25 cm

    • 2.
      In the given figure, \( \triangle AHK \sim \triangle ABC \). If \( AK = 10 \text{ cm} \), \( BC = 3.5 \text{ cm} \) and \( HK = 7 \text{ cm} \), find the length of \( AC \).


        • 3.
          The line segment joining the points \(P(-4, -2)\) and \(Q(10, 4)\) is divided by y-axis in the ratio

            • \(2:5\)
            • \(1:2\)
            • \(2:1\)
            • \(5:2\)

          • 4.
            In the given figure, \(TP\) and \(TQ\) are tangents to a circle with centre \(M\), touching another circle with centre \(N\) at \(A\) and \(B\) respectively. It is given that \(MQ = 13 \text{ cm}\), \(NB = 8 \text{ cm}\), \(BQ = 35 \text{ cm}\) and \(TP = 80 \text{ cm}\).
            (i) Name the quadrilateral MQBN. (1)
            (ii) Is MN parallel to PA? Justify your answer. (1)
            (iii) Find length TB. (1)
            (iv) Find length MN. (2)


              • 5.

                Which of the following sequence is \(\textit{not }\)an A.P. ?
                 

                  • \( 2, \frac{5}{2}, 3, \frac{7}{2}, \dots \)
                  • \( -1.2, -3.2, -5.2, -7.2, \dots \)
                  • \( \sqrt{2}, \sqrt{8}, \sqrt{18}, \dots \)
                  • \( 1^2, 3^2, 5^2, 7^2, \dots \)

                • 6.
                  If the median of the following distribution is 32.5, then find the values of x and y.

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