Triangle ABC has verticals point A (2,1), point B (4,3), and 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).

Answer 1

To find the coordinates of a point after a dilation with a scale factor of 7 and a center point at the origin, we can multiply the original coordinates by the scale factor.

For point A (2, 1):
The x-coordinate of A' = 2 * 7 = 14
The y-coordinate of A' = 1 * 7 = 7

So, the coordinates of A' are (14, 7).

For point B (4, 3):
The x-coordinate of B' = 4 * 7 = 28
The y-coordinate of B' = 3 * 7 = 21

So, the coordinates of B' are (28, 21).

For point C (-2, 5):
The x-coordinate of C' = -2 * 7 = -14
The y-coordinate of C' = 5 * 7 = 35

So, the coordinates of C' are (-14, 35).

Therefore, the coordinates of A', B', and C' after the dilation with a scale factor of 7 and a center point at the origin are A' (14, 7), B' (28, 21), and C' (-14, 35).