Dana was dilating a polygon on a coordinate grid using the origin as the center of the dilation. He wanted to make a polygon that is larger than the original polygon. Which of the following could be the algebraic representation of the enlargement?
One possible algebraic representation of the dilation could be multiplying the coordinates of each point in the original polygon by a positive constant k.
For example, if the original polygon has vertices (x1, y1), (x2, y2), (x3, y3), ..., the dilated polygon could have vertices (k*x1, k*y1), (k*x2, k*y2), (k*x3, k*y3), ...
This would result in a larger polygon than the original. The value of k would determine the scale factor of the dilation.