Question

circle which of the following figures have 90 - degree rotation symmetry

Explanation:

Step1: Recall rotation - symmetry concept

A shape has 90 - degree rotation symmetry if it looks the same after a 90 - degree rotation about its center.

Step2: Analyze right - angled triangle

A right - angled triangle does not have 90 - degree rotation symmetry as it will not look the same after a 90 - degree rotation.

Step3: Analyze rectangle

A non - square rectangle does not have 90 - degree rotation symmetry. After a 90 - degree rotation, it will have a different orientation.

Step4: Analyze square

A square has 90 - degree rotation symmetry. When rotated 90 degrees about its center, it coincides with its original position.

Step5: Analyze non - regular hexagon (assuming non - regular from the general case)

A non - regular hexagon does not necessarily have 90 - degree rotation symmetry.

Answer:

The square has 90 - degree rotation symmetry; the right - angled triangle, non - square rectangle, and non - regular hexagon do not have 90 - degree rotation symmetry.