triangle abc has coordinates a -1,1 b 1,1 c 0,-1 triangle xyz will be a dilation of triangle abc with a scale factor of 3 at what coordinates should point x of triangle xyz be plotted
To find the coordinates of point X in triangle XYZ, we need to apply a dilation transformation to the coordinates of point A in triangle ABC.
First, let's calculate the dilation of point A. We will multiply the coordinates of point A by the scale factor of 3:
New coordinate of point X = (3 * x-coordinate of point A, 3 * y-coordinate of point A)
Now, let's substitute the coordinates of point A in triangle ABC:
x-coordinate of point A = -1
y-coordinate of point A = 1
Using the dilation formula, we have:
New x-coordinate of point X = 3 * (-1) = -3
New y-coordinate of point X = 3 * 1 = 3
Therefore, point X in triangle XYZ should be plotted at the coordinates (-3, 3).