Question

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

Explanation:

• A rectangle has rotational symmetry of order \(2\) (rotating \(180^{\circ}\) about its center maps it onto itself).
• An isosceles trapezoid has rotational symmetry of order \(1\) (only the \(360^{\circ}\) rotation maps it onto itself).
• A regular hexagon has rotational symmetry of order \(6\) (rotations of \(60^{\circ},120^{\circ},180^{\circ},240^{\circ},300^{\circ},360^{\circ}\) about its center map it onto itself).
• A square has rotational symmetry of order \(4\) (rotations of \(90^{\circ},180^{\circ},270^{\circ},360^{\circ}\) about its center map it onto itself).
• A rhombus has rotational symmetry of order \(2\) (rotating \(180^{\circ}\) about its center maps it onto itself).

Answer:

rhombus