Drawing Images of Dilation with Negative Scale Factors

This lesson teaches how to draw images of dilation with negative scale factors using the center of dilation at the origin on the coordinate plane. It reviews basic dilation properties, such as parallel lines and collinearity, and provides examples with scale factors of -1, -2, and -1/2. Each example demonstrates how the image's orientation changes and how to calculate new vertex positions. The lesson concludes with a summary of the properties of dilations with negative scale factors.

Describe the relationship between the preimage and image vertices in a dilation with a center at the origin.

Explain how to find the coordinates of the image when given a preimage and a negative scale factor.

What is the effect of a negative scale factor on the orientation of the image in dilation?

What steps should be taken to draw the image of dilation for a shape not located on the coordinate plane?

What is the significance of the center of dilation in determining the location of the image vertices?

In the context of dilation, explain the term 'collinear' as it relates to the center and the vertices.

How does the absolute value of the scale factor relate to the size of the image compared to the preimage?