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