Are All Circles Similar?

This lesson allows students to prove that all circles are similar using transformations. Students will need prior knowledge of similarity, transformations, and the definition of a circle. The lesson begins with a warm up regarding dilations, then poses the question: Are all circles similar? The students are guided through the proof using a translation and dilation. The teacher emphasizes the details in the proof. The lesson closes with an exit ticket.
Resource ID#: 122271 Type: Lesson Plan
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General Information

Subject(s): Mathematics
Grade Level(s): 9, 10, 11, 12
Intended Audience: Educators educators
Suggested Technology: Document Camera, Computer for Presenter, Computers for Students, Internet Connection, Interactive Whiteboard, LCD Projector, Overhead Projector, Microsoft Office, GeoGebra Free Software (Download the Free GeoGebra Software)
Instructional Time: 50 Minute(s)
Keywords: circles, similarity, proof, transformations, proving circles are similar, prove all circles are similar, similarity transformations, triangles, dilation, scale, center of dilation, GeoGebra, pre-image, image
Instructional Component Type(s): Lesson Plan,  Worksheet
Resource Collection: FCR-STEMLearn Geometry

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