Given a scale factor of , find the coordinates for the dilation of the triangle with vertices at (0, 0), (0, 2) and (4, 0).
To find the coordinates for the dilation of the triangle with a scale factor of k, you need to multiply the x and y coordinates of each vertex of the original triangle by the scale factor k.
The original triangle has vertices at (0, 0), (0, 2), and (4, 0).
Let's assume the scale factor is k.
The coordinates of the dilation of the first vertex (0, 0) can be found by multiplying each coordinate by k:
(0 * k, 0 * k) = (0, 0)
The coordinates of the dilation of the second vertex (0, 2) can also be found by multiplying each coordinate by k:
(0 * k, 2 * k) = (0, 2k)
Finally, the coordinates of the dilation of the third vertex (4, 0) are:
(4 * k, 0 * k) = (4k, 0)
So, the coordinates for the dilation of the triangle with vertices (0, 0), (0, 2), and (4, 0), with a scale factor of k, are:
(0, 0), (0, 2k), and (4k, 0).