Question

Shape A is drawn on a one-centimeter square grid. Enlarge shape A with a scale factor of 2 and center (-3, -5). List all of the coordinates, please.

A) (-5, -7), (-1, -7), (-1, -3), (-5, -3)
B) (-7, -5), (-3, -5), (-3, -1), (-7, -1)
C) (-5, -3), (-1, -3), (-1, 1), (-5, 1)
D) (-3, -1), (1, -1), (1, 3), (-3, 3)

Answer 1

Shape A is enlarged with a scale factor of 2 and center (-3, -5) by multiplying the coordinates by the scale factor, subtracting the center coordinates, and listing the new coordinates.

Step-by-step explanation:

To enlarge shape A with a scale factor of 2 and center (-3, -5), we need to apply the scale factor to each coordinate of shape A and then shift the coordinates by (-3, -5). Here are the steps:

1. Multiply each x-coordinate of shape A by 2 and subtract 3.
2. Multiply each y-coordinate of shape A by 2 and subtract 5.
3. List the new coordinates.

Let's apply these steps to shape A:

1. Original coordinate: (-1, -7)
2. After scaling: (-1*2-3, -7*2-5) = (-5, -19)
3. After shifting: (-5+(-3), -19+(-5)) = (-8, -24)
4. So the first coordinate is (-8, -24).
5. Repeat these steps for the other coordinates.
6. The other coordinates are (-1, -3), (-5, -3), and (-5, -7).

Therefore, the correct answer is A) (-8, -24), (-1, -3), (-5, -3), (-5, -7).