NCERT Solutions for Class 7 Mathematics Chapter 14: Symmetry

NCERT Solutions for class 7 Mathematics Chapter 14 Symmetry are provided in the article below. If two or more parts of a figure are identical after folding or flipping then it is said to be symmetry. To be symmetrical the two halves of a shape must be of same shape and size. If the shape is not symmetrical then it is said to be asymmetrical. Some of the important topics in Symmetry chapter include:

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NCERT Solutions for Class 7 Mathematics Chapter 14

NCERT Solutions for Class 7 Mathematics Chapter 14 Symmetry is given below.

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NCERT Solutions for Class 7 Mathematics

Symmetry: A figure is said to be symmetrical if one half of the figure is a mirror image of the other.

Depending on the lines of symmetry, symmetrical figures can be classified into:

  • No Line of Symmetry (for the asymmetrical figure)
  • One Line of Symmetry 
  • Two Line of Symmetry 
  • Multiple (more than 2) Line of Symmetry
  • Infinite Line of Symmetry

NCERT Solutions for Class 7 Maths Chapter 14 Exercises

NCERT Solutions for Class 7 Maths Chapter 14 Symmetry Exercises is given below.

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Class 7 Maths Guide:

CBSE X Related Questions

  • 1.
    If the zeroes of the polynomial $ax^2 + bx + \dfrac{2a}{b}$ are reciprocal of each other, then the value of $b$ is

      • $\dfrac{1}{2}$
      • 2
      • -2
      • $-\dfrac{1}{2}$

    • 2.
      Let $p$, $q$ and $r$ be three distinct prime numbers. Check whether $pqr + q$ is a composite number or not. Further, give an example for three distinct primes $p$, $q$, $r$ such that
      (i) $pqr + 1$ is a composite number
      (ii) $pqr + 1$ is a prime number


        • 3.

          In the adjoining figure, $\triangle CAB$ is a right triangle, right angled at A and $AD \perp BC$. Prove that $\triangle ADB \sim \triangle CDA$. Further, if $BC = 10$ cm and $CD = 2$ cm, find the length of AD.


            • 4.
              Check whether the following system of equations is consistent or not. If consistent, solve graphically: \[ x - 2y + 4 = 0, \quad 2x - y - 4 = 0 \]


                • 5.
                  In a right triangle ABC, right-angled at A, if $\sin B = \dfrac{1}{4}$, then the value of $\sec B$ is

                    • 4
                    • $\dfrac{\sqrt{15}}{4}$
                    • $\sqrt{15}$
                    • $\dfrac{4}{\sqrt{15}}$

                  • 6.

                    In the adjoining figure, TS is a tangent to a circle with centre O. The value of $2x^\circ$ is

                      • 22.5
                      • 45
                      • 67.5
                      • 90

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