Given a scale factor of 2, find the coordinates for the dilation of the line segment with endpoints (-1,2) and (3,-3)
1. C
2. B
3. A
4. D
1. C
2. B
3. A
4. D
It’s not D for the fourth one. Made me get it wrong. C, B, A…are the first three
To find the coordinates for the dilation of a line segment, you need to multiply the coordinates of each endpoint by the scale factor.
Let's first calculate the new coordinates for the first endpoint (-1, 2):
Multiply the x-coordinate (-1) by the scale factor (2): -1 × 2 = -2
Multiply the y-coordinate (2) by the scale factor (2): 2 × 2 = 4
The new coordinates for the first endpoint are (-2, 4).
Now, let's calculate the new coordinates for the second endpoint (3, -3):
Multiply the x-coordinate (3) by the scale factor (2): 3 × 2 = 6
Multiply the y-coordinate (-3) by the scale factor (2): -3 × 2 = -6
The new coordinates for the second endpoint are (6, -6).
Therefore, the dilation of the line segment with endpoints (-1,2) and (3,-3) using a scale factor of 2 is represented by the line segment with endpoints (-2, 4) and (6, -6).