Question

If triangle ABC is dilated by a scale factor of 2.5, which of the following is true?
Select all that apply.

Multiple select question.
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A)
The image is a reduction of the preimage.

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B)
The image is an enlargement of the preimage.

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C)
The preimage and image are congruent.

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D)
The preimage and image are similar.

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E)
The preimage and image are similar and congruent.

Answer 1

When triangle ABC is dilated by a scale factor of 2.5, here's what can be concluded:

A) The image is a reduction of the preimage.
**False** - A scale factor greater than 1 indicates an enlargement, not a reduction.

B) The image is an enlargement of the preimage.
**True** - Since the scale factor is 2.5, the image will be larger than the preimage.

C) The preimage and image are congruent.
**False** - Congruent figures have the same size and shape; since the image is enlarged, they cannot be congruent.

D) The preimage and image are similar.
**True** - All dilations result in similar figures, even if they are not congruent (the shapes have the same proportions).

E) The preimage and image are similar and congruent.
**False** - While they are similar, they are not congruent since the image is larger than the preimage.

So, the correct answers are **B** and **D**.