Question

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?

Answer 1

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.