Mathematics
On a squared paper, sketch the following:
(i) A triangle with a horizontal line of symmetry but no vertical line of symmetry.
(ii) A quadrilateral with both horizontal and vertical lines of symmetry.
(iii) A quadrilateral with a horizontal line of symmetry but no vertical line of symmetry.
(iv) A hexagon with exactly two lines of symmetry.
Symmetry
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Answer
(i) An isosceles triangle drawn 'sideways' (with its axis of symmetry horizontal) is a triangle with a horizontal line of symmetry but no vertical line of symmetry.
(ii) A rectangle is a quadrilateral with both horizontal and vertical lines of symmetry.
(iii) A sideways kite can be drawn with a horizontal line of symmetry but no vertical line of symmetry. The horizontal line divides the kite into two equal mirror-image halves, but a vertical line does not divide it into two equal halves because the left and right parts are unequal.
(iv) An elongated (non-regular) hexagon is a hexagon with exactly two lines of symmetry — the horizontal line and the vertical line through its centre.
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