Question

Triangle ABC has vertices point A(2,1) , 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 7 and a center point of dilation at the origin (0,0)

A' =
B' =
C' =

Answer 1

To find the coordinates of A', B', and C' after a dilation with a scale factor of 7 and a center point of dilation at the origin (0,0), we simply need to multiply the coordinates of A, B, and C by the scale factor.

A' = (2 * 7, 1 * 7) = (14, 7)
B' = (4 * 7, 3 * 7) = (28, 21)
C' = (-2 * 7, 5 * 7) = (-14, 35)

Therefore, the coordinates of A', B', and C' after the dilation are:
A' = (14, 7)
B' = (28, 21)
C' = (-14, 35)