Question

Given a pre-image and an image, explain how you could use transformation to show they are congruent?

Answer 1

Given a pre-image, you could use any single reflection, rotation, or translation, or combination of these transformations to re-position the pre-image on top of the image to confirm congruence.  You would be able to visually see corresponding side lengths and corresponding angles measures are the same.

Answer 2

Answer:

Under a reflection, rotation, or translation, an image is congruent to its pre-image. If the image can be shown to be the result of one of these transformations, then the image is congruent to its pre-image. Because of the transitive property of congruence, the same will be true if the image is a result of a sequence of these transformations.

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