Applications of Congruence in Terms of Rigid Motions

Corresponding parts, congruent parts, congruent corresponding parts—what does it all mean? The resource challenges pupils to identify corresponding parts for pairs of figures. It uses examples of figures that undergo rigid transformations and therefore have congruent corresponding parts in addition to examples of corresponding parts that are not congruent. Learners determine the difference and understand that corresponding parts are not always congruent.

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CCSS: Designed
Instructional Ideas

  • Use a graphic organizer to record examples of corresponding parts of congruent figures, figures with congruent angles but not congruent sides, and figures with congruent sides but not congruent angles
  • Provide additional examples for pupils to practice using board work to check for understanding
Classroom Considerations

  • Ensure high schoolers are comfortable with transformation notation prior to the lesson

  • Uses a logical progression and thoroughly explores the concept of corresponding parts

  • Minimal examples are provided; the resource probably needs to be supplemented with additional examples