2. Do rectangles have rotational symmetry? Do rectangles have reflectional symmetry? Explain.

Yes, rectangles have both rotational symmetry and reflectional symmetry. Let me explain each in detail:<br /><br />### 1. **Rotational Symmetry**:<br />A rectangle has rotational symmetry of order **2**. This means that if you rotate a rectangle by **180 degrees** around its center, it will look exactly the same as it did before the rotation. However, rotating it by any other angle (other than multiples of 180°) will not result in the same appearance.<br /><br />- For example, if you rotate a rectangle by 90° or 270°, it will not align with its original position unless it is a square (a special type of rectangle).<br /><br />### 2. **Reflectional Symmetry**:<br />A rectangle has **reflectional symmetry** because it can be divided into two identical halves along certain lines of symmetry. Specifically, a rectangle has **two lines of reflectional symmetry**:<br /> - One line of symmetry runs vertically through the center of the rectangle, dividing it into two equal left and right halves.<br /> - The other line of symmetry runs horizontally through the center of the rectangle, dividing it into two equal top and bottom halves.<br /><br />### Summary:<br />- Rectangles have **rotational symmetry of order 2** (180° rotation).<br />- Rectangles have **two lines of reflectional symmetry** (vertical and horizontal axes). <br /><br />This combination of symmetries is one of the defining characteristics of rectangles.