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

Question

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

UpStudy AI · Accepted Answer

A rectangle has an **order of rotational symmetry of 2**, meaning it looks the same twice during a 360-degree rotation (specifically at 0° and 180°).

Let's evaluate each of the given figures:

1. **Isosceles Trapezoid**
   - **Rotational Symmetry Order:** 2
   - **Explanation:** When rotated 180°, an isosceles trapezoid maps onto itself, similar to a rectangle.

2. **Regular Octagon**
   - **Rotational Symmetry Order:** 8
   - **Explanation:** A regular octagon maps onto itself eight times during a full rotation, at every 45° increment.

3. **Square**
   - **Rotational Symmetry Order:** 4
   - **Explanation:** A square maps onto itself four times during a full rotation, at every 90° increment.

4. **Rhombus**
   - **Rotational Symmetry Order:** 2
   - **Explanation:** Like a rectangle, a rhombus maps onto itself twice during a full rotation, at 0° and 180°.

**Conclusion:**
Both the **isosceles trapezoid** and the **rhombus** have the same order of rotational symmetry (order 2) as a rectangle.

Answer: Both the isosceles trapezoid and the rhombus have the same rotational symmetry order as a rectangle.
Both the isosceles trapezoid and the rhombus have the same rotational symmetry as a rectangle.

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

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