In 3–5 sentences, describe the process you could use to determine if a shape is a reflection of a preimage. What features should stay the same and what should change from the preimage to the image? Give an example.

Answer 1

To determine if a shape is a reflection of a preimage, we can compare the corresponding points of the preimage and the image. The features that should stay the same are the distance between each point and the line of reflection, as well as the angles formed with the line of reflection. However, the shape itself should change, as the positions of the points will be mirrored across the line of reflection. For example, if we have a preimage triangle with vertices at A(2,3), B(4,5), and C(6,3), a reflection over the x-axis would result in an image triangle with vertices at A'(2,-3), B'(4,-5), and C'(6,-3).