Understanding Dilation and Parallel Lines on a Cartesian Coordinate Plane

This lesson covers the concept of dilation in geometry, explaining how it affects shapes on a Cartesian coordinate plane. It details how dilation transforms a line not passing through the center into a parallel line and how to calculate the scale factor using coordinates. The lesson also discusses the properties of parallel lines, the effects of dilation with the center at the origin, and the impact on segments passing through the center. Common misunderstandings about dilation are addressed, emphasizing the importance of placement and orientation.

Describe the process of dilating a line segment using a center of dilation.

What is a common misunderstanding about dilations?

How does the placement of a dilation affect the resulting image?