Question
Triangle A B C is enlarged to triangle A prime B prime C prime.
Study the diagram.
According to the notation, which kind of dilation does this represent?
reduction
enlargement
congruence
This is not a dilation.
Study the diagram.
According to the notation, which kind of dilation does this represent?
reduction
enlargement
congruence
This is not a dilation.
Answers
GPT-4o mini
To determine the kind of dilation represented in the scenario with triangle ABC being enlarged to triangle A'B'C', we need to examine the definitions of the terms provided:
- **Reduction** refers to a dilation that makes a shape smaller, meaning the new shape (A'B'C') would be smaller than the original (ABC).
- **Enlargement** refers to a dilation that makes a shape larger, meaning A'B'C' would be larger than ABC.
- **Congruence** means that the two shapes are the same size and shape, which would imply no dilation occurred.
- **This is not a dilation** indicates that the transformation does not involve resizing in any form.
Since the problem states that triangle ABC is enlarged to triangle A'B'C', this suggests that the new triangle is larger than the original. Therefore, this represents an **enlargement**.
- **Reduction** refers to a dilation that makes a shape smaller, meaning the new shape (A'B'C') would be smaller than the original (ABC).
- **Enlargement** refers to a dilation that makes a shape larger, meaning A'B'C' would be larger than ABC.
- **Congruence** means that the two shapes are the same size and shape, which would imply no dilation occurred.
- **This is not a dilation** indicates that the transformation does not involve resizing in any form.
Since the problem states that triangle ABC is enlarged to triangle A'B'C', this suggests that the new triangle is larger than the original. Therefore, this represents an **enlargement**.