Showing Triangles Congruent Using Rigid Body Motion

Coordinate using transformation in congruence proofs. An assessment provides pupils with two triangles on the coordinate plane. Relying on known information about rigid transformations, scholars describe the transformations necessary to show the two triangles are congruent. They use coordinate notation to indicate the transformations.

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CCSS: Designed
Instructional Ideas

  • Lead a discussion on whether it is easier to move triangle ABC or triangle DEF to show the congruence
Classroom Considerations

  • Individuals should be aware of what transformations they can use to show congruence
  • The class should be able to represent translations and rotations with a center at the origin using coordinate notation
Pros

  • Describes common misconceptions
  • Provides a solution that contains the coordinate notation of the transformations
Cons

  • None
Common Core