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.

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

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Solution

(a) A triangle with only 1 horizontal line of symmetry and no other vertical line of symmetry can be sketched as follows.

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

can be drawn as follows.

(c) A quadrilateral with a horizontal line of symmetry but no vertical line of symmetry can be drawn as follows.

(d) A hexagon with exactly two lines of symmetry can be sketched as follows.

(e) A hexagon with six lines of symmetry can be sketched as follows.

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Question 5 (c)

On a squared paper, sketch the quadrilateral with a horizontal line of symmetry but no vertical line of symmetry.

Question 5(a)

On a squared paper, sketch the triangle with a horizontal line of symmetry but no vertical line of symmetry.

Question 5(b)

On a squared paper, sketch the following a quadrilateral with both horizontal and vertical lines of symmetry.

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.

Can you draw a triangle which has

(a) exactly one line of symmetry?

(b) exactly two lines of symmetry?

(d) no lines of symmetry?

Sketch a rough figure in each case.

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