# Symmetry

## Exercise 14.1

### Part 2

**Question 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:

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**Answer:** None

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**Question 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?

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

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**Question 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

**Answer:** (a) 3, (b) 1, (c) 0, (d) 4, (e) 2, (f) 2, (g) 0, (h) 0, (i) 6, (j)infinitely many

**Question 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

**Answer:** (a) A, H, I, M, O, T, U, V, W, X (b) B, C, D, E, H, I, K, O, S, X, Z (c) H, I, O, X

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

**Answer:** Scalene triangle, Parallelogram

**Question 10:** What other name can you give to the line of symmetry of (a) an isosceles triangle? (b) a circle?

**Answer:** (a) Median, (b) Diameter