When the point (3, 1) is dilated by a scale factor of -1/3 around the origin, the coordinates of the image B are (-1, -1/3).
How to dilate the point ?
When a point is dilated (enlarged or reduced) by a scale factor around the origin, you can find the coordinates of the image by multiplying the original coordinates by the scale factor.
In this case, the scale factor is -1/3, and the original point is (3, 1).
To find the coordinates of the image , you can multiply each coordinate of the original point by the scale factor:
x-coordinate of B = (x-coordinate of original point) * (scale factor) = 3 * (-1/3)
= -1
y-coordinate of B = (y-coordinate of original point) * (scale factor) = 1 * (-1/3)
= -1/3
So, the coordinates of the image B are (-1, -1/3).
The full question is:
Point (3,1) is dilated by a scale factor of - 1/3 . The center of dilation is at the origin. Find the coordinates of the image. The coordinates of the image are a B