Problema Solution
has coordinates of A(–6, –7), B(4, –2), and C(0, 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).
k = 2
A(–6, –7) after dilation will be A1(2*(-6), 2*(-7)) = A1(-12, -14)
B(4, –2) after dilation will be B1(2*4, 2*(-2)) = B1(8, -4)
C(0, 7) after dilation will be C1(2*0, 2*7) = C1(0, 14)
The coordinates of its image after a dilation centered at the origin with a scale factor of 2 are: A1(-12, -14), B1(8, -4) and C1(0, 14).