Question

Mark (✓) against the correct answer in each of Q.1 to Q.8.
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 rectanle has two lines of symmetry.
(vii) Each one of the letters H, I, O, X of the English alphabet has two lines of symmetry.

Answer 1

(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 diagonals 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