Your friend tells you that reflecting a figure will make the figure's angles smaller, so it is no longer congruent to the original figure. Is this true? Why or why not? In 3-5 sentences, explain your answer describe and describe an example that would verify your claim.
No, the statement is not true. Reflecting a figure does not change the measure of its angles or make them smaller. When a figure is reflected, it is simply flipped over a line of reflection. Congruency is based on the equality of corresponding sides and angles, and reflecting a figure preserves this equality. For example, if we reflect a triangle over a line of reflection, the angles of the reflected triangle will be congruent to the angles of the original triangle.
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.
To determine if a shape is a reflection of a preimage, you can follow a step-by-step process. First, identify corresponding points on both the preimage and the image. Then, measure the distance between these corresponding points to check if they are the same. Next, determine if the orientation of the shape has changed. If the shape has been reflected, the orientation should be flipped. Additionally, compare the angles of the preimage and the image to ensure they are congruent. For example, if you have a triangle ABC as the preimage and its reflection is triangle A'B'C', you would compare the distances AB and A'B', BC and B'C', and CA and C'A'. Additionally, you would observe that the orientation of A'B'C' should be flipped compared to ABC.
