Determining Similarity of Figures Using Dilations and Scale Factors

This lesson teaches how to determine if two figures are similar using dilations and scale factors. It reviews the properties of similar figures, such as congruent angles and proportional sides. The lesson explains how to find and apply scale factors, using examples with triangles, trapezoids, and squares. It also covers common mistakes and methods to prove similarity through dilations.

What are similar figures and how can they be identified?

Explain the significance of corresponding angles in similar figures.

How do you find the scale factor between two similar figures?

What is the relationship between the scale factor and the side lengths of similar figures?

Describe the process of proving that two triangles are similar after a dilation.

How can you determine if trapezoids are similar using scale factors?

What steps would you take to prove that two squares are similar?