Question

7. What is the image of p for a dilation with center (0,0) and a scale factor of 2.5?

A (-2.5, 5)
B (2.5, -5)
C (2, 2.5)
D (-5, -2.5)

Answer 1

A (-2.5, 5) Might Not Be Right

Explanation:

Answer 2

The image of point P after the dilation is A (-2.5, 5)

To find the image of point P after a dilation with center (0, 0) and a scale factor of 2.5, you can use the following formulas for dilation:

`\[ x' = k \cdot x \]\\ y' = k \cdot y \]`

where k is the scale factor.

Let's apply these formulas to point P:

Given point P: (-1, 2)

`\[ x' = 2.5 \cdot (-1) \]`

`\[ y' = 2.5 \cdot (2) \]`

Calculating these values:

x' = -2.5

y' = 5

So, the image of point P after the dilation is (-2.5, 5). Therefore, the correct answer is: A. (-2.5, 5)