Congruence Criteria for Triangles—AAS and HL

How can you prove it? Guide classes through an exploration of two possible triangle congruence criteria: AAS and HL. Learners connect this criteria to those previous learned and also explore criteria that does not work. The activity concludes with proofs utilizing AAS and HL criteria.

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CCSS: Designed
Additional Tags
Instructional Ideas
  • Use a graphic organizer to record acceptable and unacceptable criteria for triangle congruence, and include examples and explanations
  • Spiral examples using theorems other than AAS and HL
Classroom Considerations
  • Learners should have previous experience with congruence criteria including SAS, SSS, and ASA
  • Prior knowledge is used to aid in understanding of the new criteria
  • Lesson does not include exploration; the content of the lesson is lecture only
Common Core