How does a dilation with a scale factor greater than 1 affect a geometric figure?

A dilation with a scale factor greater than 1 enlarges a geometric figure. The process involves scaling each point of the figure away from a specific center of dilation. As the scale factor is greater than 1, each point moves further away from the center, resulting in an increase in the dimensions of the figure while maintaining its shape and proportion. Therefore, all angles remain the same, and the figure's proportions are preserved, but it occupies a larger area in the space.

Understanding this transformation is crucial in various applications within geometry, where alterations in size while retaining shape are often necessary, such as in modeling or design.