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.(4 points)
1 answer
To determine if a shape is a reflection of a preimage, one can follow a simple process. Firstly, identify the points and lines of the preimage and image. Then, check if the corresponding points in the preimage and image are equidistant from the line of reflection. Next, examine if the lines of the preimage and image are parallel or perpendicular to the line of reflection. Finally, verify if angles between the preimage and image are congruent or supplementary. For example, if a triangle T is reflected over the line of reflection to form triangle T', the corresponding sides of both triangles should be equal in length, the lines of the triangles must be parallel to the line of reflection, and the angles of triangle T should be congruent to the angles of triangle T'.