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 of dilation at the origin. (& points)
A'
B=（
C'=
To find the new coordinates after the dilation, multiply the x and y coordinates of each point by the scale factor.
For point A (-2, -2):
x coordinate of A' = -2 * 3 = -6
y coordinate of A' = -2 * 3 = -6
So, A' = (-6, -6)
For point B (-4, -3):
x coordinate of B' = -4 * 3 = -12
y coordinate of B' = -3 * 3 = -9
So, B' = (-12, -9)
For point C (-2, -5):
x coordinate of C' = -2 * 3 = -6
y coordinate of C' = -5 * 3 = -15
So, C' = (-6, -15)
Therefore, the coordinates of A, B, and C' after the dilation are:
A' = (-6, -6)
B' = (-12, -9)
C' = (-6, -15)