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Answer:
−4 is an expansion; 2.5 is an expansion; 2/3 is a contraction; and −3/4 is a contraction.
Step-by-step explanation:
In a dilation, a scale factor greater than 1 or less than -1 is an expansion. It will make the figure larger. This means that -4 is an expansion, since it is less than -1, and 2.5 is an expansion, since it is greater than 1.
A scale factor that is greater than -1 but less than 1 will be a contraction. It will make the figure smaller. This means that 2/3 is an expansion, since it is less than 1, and -3/4 is a contraction, since it is greater than -1.
This question is based on dilation .Therefore, the scale factor -4 and 2.5 are for expansion of figure. And, [tex]\frac{2}{3}[/tex] and [tex]\frac{-3}{4}[/tex] are for the contraction of figure.
In this question, we have to select the scale factor of dilation for contraction and expansion.
As we know that,
In a dilation, a scale factor is greater than 1 or less than -1 cause an expansion. It will make the figure larger.
That means, -4 is an expansion, since it is less than -1,
And 2.5 is an expansion, since it is greater than 1.
A scale factor that is greater than -1 but less than 1 cause contraction of figure. It will make the figure smaller.
This means that,
[tex]\frac{2}{3}[/tex] is an expansion, since it is less than 1, and [tex]\frac{-3}{4}[/tex] is a contraction, since it is greater than -1.
Therefore, the scale factor -4 and 2.5 are for expansion of figure. And, [tex]\frac{2}{3}[/tex] and [tex]\frac{-3}{4}[/tex] are for the contraction of figure.
For more details, please refer this link;
https://brainly.com/question/19718387
