Question

1. which of the following figures does not have rotational symmetry?

Explanation:

Step1: Define rotational symmetry

A figure has rotational symmetry if it looks the same after a rotation of less than 360° around a central point.

Step2: Analyze star

A five - pointed star looks the same after a rotation of 72° (360°/5) around its center, so it has rotational symmetry.

Step3: Analyze triangle

A non - equilateral right - angled triangle does not look the same after any rotation of less than 360° around any point, so it does not have rotational symmetry.

Step4: Analyze circle

A circle looks the same after any rotation around its center, so it has rotational symmetry.

Step5: Analyze rectangle

A rectangle looks the same after a 180° rotation around its center, so it has rotational symmetry.

Answer:

The yellow triangle (the second figure)