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A day full of math games & activities. Find one near you.
A day full of math games & activities. Find one near you.

On a squared paper, sketch the following:
(а) 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)

Solution:

We will be using the concepts of the line of symmetry to solve this.

Symmetry states that one shape is identical to the other shape when it is moved, rotated, or flipped.

(a) The figure shows an isosceles triangle with a horizontal line of symmetry but no vertical line of symmetry.

On a squared paper, sketch the following: (а) 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)

(b) Rectangle (quadrilateral) shows both the horizontal and vertical lines of symmetry.

On a squared paper, sketch the following: (а) 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)

(c) Trapezium (quadrilateral) shows the horizontal but no vertical line of symmetry.

On a squared paper, sketch the following: (а) 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)

(d) An irregular hexagon drawn below shows only two lines of symmetry.

(e) The regular hexagon shows six lines of symmetry.

On a squared paper, sketch the following: (а) 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)

NCERT Solutions for Class 6 Maths Chapter 13 Exercise 13.2 Question 5

On a squared paper, sketch the following: (а) 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)

Summary:

(a) An isosceles triangle with a horizontal line of symmetry is sketched. (b) A rectangle showing both the horizontal and vertical lines of symmetry is sketched. (c) A trapezium showing only the horizontal line of symmetry is sketched. (d) An irregular hexagon showing exactly two lines of symmetry is sketched. (e) A regular hexagon showing six lines of symmetry is sketched.

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