Question

a pre image has coordinates F(3,2) S(-1,5) A(1,4 it is dilated using scale factor 1/3 what are the coordinates of the image

Answer 1

[AI-generated answer — Bot]

Image coordinates: F(1, 2/3) S(-1/3, 5/3) A(1/3, 4/3)

Answer 2

[AI-generated answer — Step-by-Step Bot]

To find the coordinates of the image after being dilated by a scale factor of 1/3, we need to multiply the coordinates of each point in the pre-image by the scale factor.

Let's calculate the coordinates of each point:

1. Point F(3, 2):
- Multiply the x-coordinate by 1/3: 3 * 1/3 = 1
- Multiply the y-coordinate by 1/3: 2 * 1/3 = 2/3
The new coordinates of point F are (1, 2/3).

2. Point S(-1, 5):
- Multiply the x-coordinate by 1/3: -1 * 1/3 = -1/3
- Multiply the y-coordinate by 1/3: 5 * 1/3 = 5/3
The new coordinates of point S are (-1/3, 5/3).

3. Point A(1, 4):
- Multiply the x-coordinate by 1/3: 1 * 1/3 = 1/3
- Multiply the y-coordinate by 1/3: 4 * 1/3 = 4/3
The new coordinates of point A are (1/3, 4/3).

Therefore, after the dilation, the new coordinates of the points F, S, and A are:

F'(1, 2/3)
S'(-1/3, 5/3)
A'(1/3, 4/3)