  Question

Tick (✓) the correct answer Which of the following statements are true and which of them 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 (iv) False A rhombus is symmetrical about both of its diagonals. So, a rhombus has two lines of symmetry. (v) True A square is symmetrical about both of its diagonals and both the lines joining the midpoints of its opposite sides. So, a square has four lines of symmetry. (vi) True A rectangle is symmetrical about both the lines joining the midpoints of its opposite sides. So, a rectangle has two lines of symmetry. (vii) True Each one of the letters, H, I, O and X, of the English alphabetic system is symmetrical about its horizontal and vertical line, in the middle of the letters. So, all these letters have two lines of symmetry. MathematicsRS Aggarwal (2017)Standard VII

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