Criterion for Perpendicularity

The Pythagorean Theorem is a geometry pupil's best friend! Learners explain the equation a1b1 + a2b2 = 0 for perpendicular segments using the Pythagorean Theorem. They are able to identify perpendicular segments using their endpoints and make a connection to the slope of the segments being opposite reciprocals. 

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CCSS: Designed
Instructional Ideas

  • Have pairs create a segment with given endpoints for their partners to determine if they are perpendicular
  • Include lengths that are radical expressions
Classroom Considerations

  • Review calculations related to the Pythagorean Theorem
  • The fifth lesson in a 15-part series
Pros

  • Lesson builds from simpler questions to more complex situations
  • Includes all necessary handouts, answer keys, and instructions
Cons

  • None
Common Core