A figure is dilated by a scale factor of 4. If the origin is the center of dilation, what are the coordinated in the original figure of a vertex located at (8,8) in the enlarged figure?
A/(2,2)
B/(4,4)
No one has answered
Dilate by four means that it is enlarged by a factor of 4. 4 x (2,2) would give you (8,8)
To find the coordinates in the original figure of a vertex located at (8,8) in the enlarged figure, we need to divide the coordinates by the scale factor.
Since the figure was dilated by a scale factor of 4, the coordinates of the corresponding vertex in the original figure would be (8/4, 8/4).
Simplifying, we get (2, 2).
Therefore, the correct answer is A/(2,2).
To find the coordinates in the original figure, we need to apply the inverse operation of dilation.
Since the figure is dilated by a scale factor of 4, the coordinates in the original figure can be found by dividing the enlarged coordinates by the scale factor.
The vertex located at (8,8) in the enlarged figure would have coordinates (8/4, 8/4), which simplifies to (2,2).
Therefore, the correct answer is A, (2,2).