Triangle ABC has vertices point A(-2,-2), point B(-4,-3), and point C(-2,-5). Find the coordinates of A’ B’ and C’ after a dilation with a scale factor of 3 and a center point dilation at the origin
To dilate a point using a scale factor of 3 and a center point dilation at the origin, we multiply both the x-coordinate and the y-coordinate of the point by the scale factor.
For point A(-2, -2):
New x-coordinate: -2 * 3 = -6
New y-coordinate: -2 * 3 = -6
Coordinates of A': (-6, -6)
For point B(-4, -3):
New x-coordinate: -4 * 3 = -12
New y-coordinate: -3 * 3 = -9
Coordinates of B': (-12, -9)
For point C(-2, -5):
New x-coordinate: -2 * 3 = -6
New y-coordinate: -5 * 3 = -15
Coordinates of C': (-6, -15)
Therefore, the coordinates of A', B', and C' after the dilation are A'(-6, -6), B'(-12, -9), and C'(-6, -15), respectively.