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)
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 can use the following formula:
A' = 7 * (A)
B' = 7 * (B)
C' = 7 * (C)
Let's find the coordinates of A', B', and C':
A' = (7 * 2, 7 * 1) = (14, 7)
B' = (7 * 4, 7 * 3) = (28, 21)
C' = (7 * -2, 7 * 5) = (-14, 35)
Therefore, the coordinates of A', B', and C' after dilation with a scale factor of 7 and a center point of dilation at the origin are:
A' = (14, 7)
B' = (28, 21)
C' = (-14, 35)