Answer:
The rule of dilation by a scale factor 4 is:
(x, y) → (4x, 4y)
P(4, 2) → (4x, 4y) = (4(4), 4(2)) = P'(16, 8)
Therefore, 4 will be the scale factor.
Step-by-step explanation:
Given the point
As the image coordinates of (4, 2) are (16, 8) after the scale factor, we need to determine what could be the scale factor.
- Let P(4, 2) is the original point, and P'(16, 8) is the image of the point P(4, 2).
It is clear that the coordinates of the image P'(16, 8) are 4 times the coordinates of the original point P(4, 2), which means the point P(4, 2) is dilated by a scale factor of 4.
Thus, the rule of dilation by a scale factor 4 is:
(x, y) → (4x, 4y)
P(4, 2) → (4x, 4y) = (4(4), 4(2)) = P'(16, 8)
Therefore, 4 will be the scale factor.
