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 degrees about its center.

Step2: Analyze isosceles trapezoid

An isosceles trapezoid has an order of rotational symmetry of 1. It does not look the same after any non - full - turn rotation about its center.

Step3: Analyze regular octagon

A regular octagon has an order of rotational symmetry of 8. It looks the same after rotations of 45 degrees, 90 degrees, 135 degrees, 180 degrees, 225 degrees, 270 degrees, 315 degrees and 360 degrees about its center.

Step4: Analyze square

A square has an order of rotational symmetry of 4. It looks the same after rotations of 90 degrees, 180 degrees, 270 degrees and 360 degrees about its center.

Step5: Analyze rhombus

A rhombus has an order of rotational symmetry of 2. It looks the same after a 180 - degree rotation about its center, which is the same as the order of rotational symmetry of a rectangle.

Answer:

D. rhombus