## Chapter 14 Symmetry Exercise 14.1

**Question 1: Copy the figures with punched holes and find the axes of symmetry for the following:(a)**

**Answer:**

**(b)**

**Answer:**

**(c)**

**Answer:**

**(d)**

**Answer:**

(e)

**Answer:**

**(f)**

**Answer:**

**(g)**

**Answer:**

**(h)**

**Answer:**

**(i)**

**Answer:**

**(j)**

**Answer:**

**(k)**

**Answer:**

(l)

(l)

**Answer:**

**Question 2: Given the line(s) of symmetry, find the other hole(s):(a)**

**Answer:**

**(b)**

**Answer:**

(c)

(c)

**Answer:**

(d)

(d)

**Answer:**

(e)

(e)

**Answer:****Question 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?**

(a)

(a)

**Answer:**

Name of the figure is square.

**(b)**

**Name of the figure is triangle.**

**Answer:****(c)**

**Answer:****(d)**

**Answer:****(e)**

**Answer:**

**(f)**

**Answer:**

**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:**

(a)

(a)

**Answer:**The figure given has 3 lines of symmetry. So, it has multiple lines of symmetry.

**(b)**

**The figure given has 2 lines of symmetry. So, it has multiple lines of symmetry.**

**Answer:****(c)**

**Answer:****The figure given has 3 lines of symmetry. So, it has multiple lines of symmetry.**

**(d)**

**Answer:****The figure given has 2 lines of symmetry. So, it has multiple lines of symmetry.**

**(e)**

**The figure given has 4 lines of symmetry. So, it has multiple lines of symmetry.**

**Answer:****(f)**

**The figure given has only 1 line of symmetry.**

**Answer:****(g)**

**The figure given has 4 lines of symmetry. So, it has multiple lines of symmetry.**

**Answer:****(h)**

**The figure given has 6 lines of symmetry. So, it has multiple lines of symmetry.**

**Answer:****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?

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?

**Answer:**

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

(a)

(a)

**Answer:**

(b)

(b)

**Answer:**

**(c)**

**Answer:**

**(d)**

**Answer:**

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

(a) An equilateral triangle

Answer:An equilateral triangle has 3 lines of symmetry.

(a) An equilateral triangle

Answer:

**(b) An isosceles triangle**

Answer:An isosceles triangle has 1 lines of symmetry.

Answer:

**(c) A scalene triangle**

Answer:A scalene triangle has no line of symmetry.

Answer:

**(d) A square**

Answer:A square has 4 lines of symmetry.

Answer:

**(e) A rectangle**

Answer:A rectangle has 2 lines of symmetry.

Answer:

**(f) A rhombus**

Answer:A rhombus has 2 lines of symmetry.

Answer:

**(g) A parallelogram**

Answer:A parallelogram has no line of symmetry.

Answer:

**(h) A quadrilateral**

Answer:A quadrilateral has no line of symmetry.

Answer:

**(i) A regular hexagon**

Answer:A regular hexagon has 6 lines of symmetry.

Answer:

**(j) A circle**

Answer:A circle has infinite lines of symmetry.

Answer:

**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 vertical mirror - A, H, I, M, O, T, U, V, W, X, Y

(a) A vertical mirror

(b) A horizontal mirror

(c) Both horizontal and vertical mirrors

Answer:

b) A horizontal mirror - B, C, D, E, H, I, K, O, X

c) Both horizontal and vertical mirrors - H, I, O, X

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

Answer:A scalene triangle, a quadrilateral and a parallelogram

Answer:

**Question 10: What other name can you give to the line of symmetry of**

(a) An isosceles triangle?

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

(a) An isosceles triangle?

Answer:

**(b) A circle?**

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

Answer:

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