draw a triangle with two lines of symmetry

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Solution

It is not possible to construct a triangle with 2 lines of symmetry.
Since a scalene triangle has no line of symmetry, isosceles triangle has 1 line of symmetry only and equilateral triangle has 3 lines of symmetry.

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Question 4(b)

Can you draw a triangle which has exactly two lines of symmetry? Sketch a rough figure.

On a squared paper, sketch the following:

(a) A triangle with a horizontal line of symmetry but no vertical line of symmetry.

(b) A quadrilateral with both horizontal and vertical lines of symmetry.

(d) A hexagon with exactly two lines of symmetry.

(e) A hexagon with six lines of symmetry.

(Hint: It will be helpful if you first draw the lines of symmetry and then complete the figures.)

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.

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