**Exercise 20**

**Mark against the correct answer in each of Question 1 to Question 8.**

**Question 1:**

**A square has**

**(a) one line of symmetry**

**(b) two lines of symmetry**

**(c) three lines of symmetry**

**(d) four lines of symmetry**

**Solution:**

(d) four lines of symmetry

**Question 2:**

**A rectangle is symmetrical about**

**(a) each one of its sides**

**(b) each one of its diagonals**

**(c) a line joining the midpoints of its opposite sides**

**(d) none of these**

**Solution:**

(c) a line joining the midpoints of its opposite sides

**Question 3:**

**A rhombus is symmetrical about**

**(a) the line joining the midpoints of its opposite sides**

**(b) each of its diagonals**

**(c) perpendicular bisector of each of its sides**

**(d) none of these**

**Solution:**

(b) each of its diagonals

**Question 4:**

**A circle has**

**(a) no line symmetry**

**(b) one line of symmetry**

**(c) two lines of symmetry**

**(d) an unlimited number of lines of symmetry**

**Solution:**

(d) an unlimited number of lines of symmetry

This is because a circle has infinite number of diameters. Also, a circle is symmetrical about each of its diameter.

**Question 5:**

**A scalene triangle has**

**(a) no line of symmetry**

**(b) one line of symmetry**

**(c) two lines of symmetry**

**(d) three lines of symmetry**

**Solution:**

(a) no line of symmetry

**Question 6:**

**ABCD is a kite in which AB = AD and BC = DC.**

**The kite is symmetrical about**

**(a) the diagonal AC**

**(b) the diagonal BD**

**(c) none of these**

**Solution:**

(a) the diagonal AC

**Question 7:**

**The letter O of the English alphabet has**

**(a) no line of symmetry**

**(b) one line of symmetry**

**(c) two lines of symmetry**

**(d) none of these**

**Solution:**

(c) two lines of symmetry

**Question 8:**

**The letter Z of the English alphabet has**

**(a) no line of symmetry**

**(b) one line of symmetry**

**(c) two lines of symmetry**

**(d) none of these**

**Solution:**

(a) no line of symmetry

**Question 9:**

**Draw the line (or lines) of symmetry of each of the following figures.**

**Solution:**

**Question 10:**

**Which of the following statements are true and which are false?**

**(i) A parallelogram has no line of symmetry.**

**(ii) An angle with equal arms has its bisector as the line of symmetry.**

**(iii) An equilateral triangle has three lines of symmetry.**

**(iv) A rhombus has four lines of symmetry.**

**(v) A square has four lines of symmetry.**

**(vi) A rectangle has two lines of symmetry.**

**(vii) Each one of the letters H, I, O, X of the English alphabet has two lines of symmetry.**

**Solution:**

(i) True

(ii) True

(iii) True

An equilateral triangle is symmetrical about each one of the bisectors of its interior angle. Also, it has three bisectors.

(iv) False

A rhombus has two lines of symmetry. It is symmetrical about each one of its diagonals.

(v) True

A square is symmetrical about each one of its diagonal and the lines joining the midpoints of the opposite sides.

(vi) True

A rectangle is symmetrical about the lines joining the midpoints of the opposite sides.

(vii) True

## Practise This Question

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