Which of the figures given below have both line and rotational symmetry?

Solution:

We know that

Rotational symmetry is defined as a type of symmetry in which the image of a given shape is exactly identical to the original shape or image in a complete turn or a full angle rotation or 360° rotation.

It exists when a shape is turned, and the shape is identical to the original.

The figure (a) and (c) has both line and rotational symmetry

The lines of symmetry of figure (a) is

Rotational symmetry of figure (a) is

Rotational angle = 360/8 = 45°

The lines of symmetry of figure (c) is

The rotational symmetry of figure (c) is

Rotational angle = 360/10 = 36°

Therefore, the figures (a) and (c) have both line and rotational symmetry.

✦ Try This: Draw the net of triangular pyramid with base as equilateral triangle of side 6 cm and slant edges 8 cm.

☛ Also Check: NCERT Solutions for Class 7 Maths Chapter 10

NCERT Exemplar Class 7 Maths Chapter 12 Problem 122

Which of the figures given below have both line and rotational symmetry?

Summary:

The figures (a) and (c) have both line and rotational symmetry.

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