Question

question 20 of 25
which of these figures has rotational symmetry?
a.
b.
c.
d.

Explanation:

Define rotational symmetry

Using the Rotational Symmetry Definition knowledge point
A figure has rotational symmetry if it can be rotated about a central point by an angle of more than \(0^\circ\) and less than \(360^\circ\) so that the image matches the original figure.

Analyze the given figures

• Figure A (Scalene Triangle): No rotational symmetry. Rotating it by any angle less than \(360^\circ\) does not map the triangle onto itself.
• Figure B (Parallelogram): Has rotational symmetry. Rotating a non-rectangular parallelogram by \(180^\circ\) about its center maps it exactly onto itself.
• Figure C (Isosceles Triangle): No rotational symmetry. It only maps onto itself after a full \(360^\circ\) rotation.
• Figure D (Trapezoid): No rotational symmetry. It only maps onto itself after a full \(360^\circ\) rotation.

Identify the correct option

The only figure with rotational symmetry is the parallelogram in option B.

Answer:

• (A) Scalene triangle
• (B) Parallelogram (Correct answer)
• (C) Isosceles triangle
• (D) Trapezoid