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Symmetry — MATHS STD 7 — Question

Gujarat BoardEnglish MediumSTD 7MATHSSymmetry3 Marks
Question
Draw, wherever possible, a rough sketch of
(i) a triangle with both line and rotational symmetries of order more than 1.
(ii) a triangle with only line symmetry and no rotational symmetry of order more than 1.
(iii) a quadrilateral with a rotational symmetry of order more than 1, but not a line symmetry.
(iv) a quadrilateral with line symmetry, but not a rotational symmetry of order more than 1.
✓

Answer

(i) An equilateral triangle has 3 lines of symmetry which are shown by dotted lines
Image
Also, an equilateral triangle has rotational symmetry of order 3 as shown below:
Image
(ii) An isosceles triangle has only one line of symmetry, which is shown below by dotted lines and it has no rotational symmetry of order more than 1.
Image
(iii) A parallelogram has rotational symmetry of order more than 1, but not a line symmetry.
Image
(iv) An isosceles trapezium has a line of symmetry, which is shown by dotted lines, but not a rotational symmetry of order more than 1.
Image

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