# Symmetry

## Exercise 14.2

**Question 1:** Which of the following figures have rotational symmetry of order more than 1:

**Answer:** a, b, d, e, f

**Question 2:** Give the order of rotational symmetry for each figure:

**Answer:** (a) 2, (b) 2, (c) 3, (d) 4, (e) 4, (f) 5, (g) 6, (h) 3

## Exercise 14.3

**Question 1:** Name any two figures that have both line symmetry and rotational symmetry.

**Answer:** Square, circle

**Question 2:** Draw, wherever possible, a rough sketch of

- A triangle with both line and rotational symmetries of order of more than 1.
- A triangle with only line symmetry and no rotational symmetry of order more than 1.
- A quadrilateral with rotational symmetry of order more than 1 but not a line of symmetry.
- A quadrilateral with line symmetry but not a rotational symmetry of order more than 1.

**Answer:** (a) Equilateral Triangle, (b) Isosceles Triangle, (c) Parallelogram, (d) Kite

**Question 3:** If a figure has two or more lines of symmetry, should it have rotational symmetry of order more than?

**Answer:** Yes

**Question 4:** Fill in the blanks:

**Answer:**

Shape | Centre of rotation | Order of rotation | Angle of rotation |
---|---|---|---|

Square | Intersection point of diagonals | 4 | 90° |

Rectangle | Intersection point of diagonals | 2 | 180° |

Rhombus | Intersection point of diagonals | 2 | 180° |

Equilateral triangle | Intersection point of medians | 3 | 120° |

Regular hexagon | Intersection point of diagonals | 6 | 60° |

Circle | Centre | Infinite | Any angle |

Semicircle | Centre | 1 | 360° |