Table of Contents

Toggle## Class 7, Maths, Chapter 14, Exercise 14.1 Solutions

**Q.1. Copy the figures with punched holes and find the axes of symmetry for the following:**

**Ans:**

**Q.2. Given the line(s) of symmetry, find the other hole(s):**

**Ans:**

**Q.3. In the following figures, the mirror line (i.e., the line of symmetry) is given as a dotted line. Complete each figure performing reflection in the dotted (mirror) line. (You might perhaps place a mirror along the dotted line and look into the mirror for the image). Are you able to recall the name of the figure you complete?**

**Ans:**

**Q.4. The following figures have more than one line of symmetry. Such figures are said to have multiple lines of symmetry.**

**Identify multiple lines of symmetry, if any, in each of the following figures:**

**Ans:**

**Q.5. Copy the figure given here.**

**Take any one diagonal as a line of symmetry and shade a few more squares to make the figure symmetric about a diagonal. Is there more than one way to do that? Will the figure be symmetric about both the diagonals?**

**Q.6. Copy the diagram and complete each shape to be symmetric about the mirror line(s):**

**Ans:**

**Q.7. State the number of lines of symmetry for the following figures:**

**(a) An equilateral triangle **

**(b) An isosceles triangle **

**(c) A scalene triangle**

**(d) A square **

**(e) A rectangle **

**(f) A rhombus**

**(g) A parallelogram **

**(h) A quadrilateral **

**(i) A regular hexagon**

**(j) A circle**

**Ans:**

**Q.8. What letters of the English alphabet have reflectional symmetry (i.e., symmetry related to mirror reflection) about.**

**(a) a vertical mirror **

**(b) a horizontal mirror**

**(c) both horizontal and vertical mirrors**

**Ans:**

**(a) A vertical mirror:** The English alphabet have reflection symmetry about a vertical mirror are, A, H, I, M, O, T, U, V, W, X and Y.

**(b) A horizontal mirror:** The English alphabet have reflection symmetry about a horizontal mirror are, B, C, D, E, H, I, K, O and X.

**(c) Both horizontal and vertical mirrors: **The English alphabet have reflection symmetry about both horizontal and vertical mirrors are, H, I, O and X.

**Q.9. Give three examples of shapes with no line of symmetry.**

**Ans:**

A shape has a no line of symmetry means if there is no line about which the figure may be folded and also parts of the figure will not coincide. The three examples are:

(a) Scalene triangle

(b) Quadrilateral

(c) Parallelogram

**Q.10. What other name can you give to the line of symmetry of**

**(a) an isosceles triangle? **

**(b) a circle?**

**Ans:**

**(a) An isosceles triangle:**

The other name to the line of symmetry of an isosceles triangle is median or altitude.

**(b) A circle:**

The other name to the line of symmetry of a circle is diameter.