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What is a translation?

A. The pre-image has been transformed by turning the image a certain degree on a coordinate grid where the center of rotation is about the origin. The pre-image and image are congruent.

B. The pre-image has been transformed by moving every point of the pre-image the same distance in the same direction. The pre-image and image are congruent.

C. The pre-image has been transformed by flipping the pre-image over a line to create a mirror image. All corresponding points in the image are equidistant from the line of reflection. The pre-image and image are congruent.

D. The pre-image has been transformed by enlarging or reducing the size without changing the shape.



Answer :

GinnyAnswer
A translation is a type of transformation in which every point of the pre-image is moved the same distance in the same direction. In other words:

- Each point of the object is shifted in the same direction and by the same distance.
- The shape and size of the object remain unchanged.
- The pre-image and the image are congruent, meaning they are exactly identical in terms of shape and size but positioned differently.

So, given the statements provided, the most accurate description of a translation is:

"Pre-image has been transformed by moving every point of the pre-image to the same distance in the same direction. The pre-image and image are congruent."

This explanation aligns with the definition of a translation in geometry.

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