Final answer:
To find the dilated coordinates of points A(2, 6), B(8, 4), and C(6, 10), we can use the formula for dilation.
Step-by-step explanation:
To find the dilated coordinates of points A(2, 6), B(8, 4), and C(6, 10), we can use the formula for dilation. Dilation is a transformation that changes the size of an object without changing its shape. It involves multiplying the coordinates of each point by a scale factor, which determines the amount of enlargement or reduction.
Let's say the scale factor is k. To dilate point A, we multiply its x-coordinate by k and its y-coordinate by k. So, if the scale factor k is 2, the dilated coordinates of point A would be (2*2, 6*2) = (4, 12).
Similarly, the dilated coordinates of point B and C can be found by multiplying their respective coordinates by the scale factor. For example, if k is 3, the dilated coordinates of point B would be (8*3, 4*3) = (24, 12).