Problema Solution
Coordinates of A(-5, -7), B(6, -3), C(2, -7). Find the coordinates of its image after a dilation centered at the origin with a scale factor of 2.
Answer provided by our tutors
A dilation of scalar factor k whose center of dilation is the origin may be written: Dk (x, y) = (kx, ky).
In our case k = 2
A(-5, -7) after the dilation will become A'(2*(-5), 2*(-7)) = A' (-10, -14)
B(6, -3) after the dilation will become B'(2*6, 2*(-3)) = B' (12, -6)
C(2, -7) after the dilation will become C'(2*2, 2*(-7)) = C' (4, -14)