Answer:
Coordinates of point C after dilation with a scale factor of 5, centered at the origin will be: C'(10, 5)
Step-by-step explanation:
Given the point C
A dilation with a scale factor of 5 means the size of the coordinates of the image of point P will be 5 times larger than than the original coordinates of point C.
Thus, the rule of dilation by a scale factor 5 is:
(x, y) → (5x, 5y)
C(2, 1) → (5x, 5y) = (5(2), 5(1)) = C'(10, 5)
Therefore, coordinates of the point C after dilation with a scale factor of 5, centered at the origin will be: C'(10, 5)
