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What is true for an image and a preimage in a reflection?

A) They have equal areas.
B) They have the same perimeter.
C) They are congruent.
D) They are parallel.

1 Answer

3 votes

Final answer:

In a reflection, the image and preimage are congruent, meaning they have the same size, shape, and thus the same perimeter and area. They are situated at equal but opposite distances from the mirror, forming mirror images that are reversed left-to-right but upright.

Step-by-step explanation:

What is true for an image and a preimage in a reflection is that they are congruent. When an object is reflected across a line or plane (the mirror), the image has the following properties:

A reflection does not alter the size or shape of an object, which is why reflected images have the same area and perimeter as their preimages and are considered congruent to one another. The notion of parallelism does not generally apply to reflections in regards to preimage and image except in the context that mirror images are reversed left-to-right but not moved up or down, assuming the mirror is vertical.

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User Daspek
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