Question

which figure has the same order of rotational symmetry as a rectangle?
isosceles trapezoid
regular octagon
square
rhombus

Explanation:

Step1: Recall rotational - symmetry order of rectangle

A rectangle has an order of rotational symmetry of 2. It looks the same after a rotation of 180° about its center.

Step2: Analyze each option

• An isosceles trapezoid has an order of rotational symmetry of 1. It does not look the same after any non - 360° rotation.
• A regular octagon has an order of rotational symmetry of 8. It looks the same after rotations of 45°, 90°, 135°, 180°, 225°, 270°, 315°, and 360° about its center.
• A square has an order of rotational symmetry of 4. It looks the same after rotations of 90°, 180°, 270°, and 360° about its center.
• A rhombus has an order of rotational symmetry of 2. It looks the same after a 180° rotation about its center.

Answer:

D. rhombus