Question

When using the polygon tool to draw an image of a given polygon under a dilation with a scale factor of 1/3 and a center of dilation at the point (0, 0), what will be the effect on the polygon's size and shape?

A) The polygon will become larger while maintaining its original shape.
B) The polygon will become smaller while maintaining its original shape.
C) The polygon's size and shape will remain unchanged.
D) The polygon will rotate but maintain its original size.

Answer 1

The polygon will become smaller while maintaining its original shape when subjected to a dilation with a scale factor of 1/3 from the center of dilation at (0, 0).

Step-by-step explanation:

When using the polygon tool to draw an image of a given polygon under a dilation with a scale factor of 1/3 and a center of dilation at the point (0, 0), the effect on the polygon's size and shape will be that the polygon will become smaller while maintaining its original shape. This is because a dilation is a transformation that produces an image that is the same shape as the original, but is a different size. The scale factor indicates how much the size will change. A scale factor of 1/3 means that each side of the polygon will be 1/3 the length of the corresponding side in the original polygon, which results in the entire polygon shrinking to one third of its original size in all dimensions.