1. Write a real world example of each of the rigid transformations (translations, reflections, and rotations).

Sure, here are real-world examples of each of the rigid transformations:<br /><br />1. Translations: Imagine you are pushing a shopping cart. As you push the cart, it moves in a straight line without rotating or changing shape. This is an example of a translation, where the cart is moved from one location to another without any other changes.<br /><br />2. Reflections: Consider a mirror image of a person. When you look into a mirror, you see a reflection of yourself that is reversed from left to right. This is an example of a reflection, where the image is flipped over a line (in this case, the mirror).<br /><br />3. Rotations: Think about a Ferris wheel. As the Ferris wheel rotates, the seats move in a circular path. This is an example of a rotation, where the seats are turned around a central point (the axis of the Ferris wheel).