GEOM.MATH.5.C

Use the constructions of congruent segments, congruent angles, angle bisectors, and perpendicular bisectors to make conjectures about geometric relationships.

Geometry · Texas Essential Knowledge and Skills (TEKS) · TEKS 2012

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Vocabulary
constructionscongruent segmentscongruent anglesangle bisectorsperpendicular bisectorsconjecturesgeometric relationships
Skills
  • use (constructions of congruent segments, congruent angles, angle bisectors, and perpendicular bisectors) #dok2
  • make (conjectures about geometric relationships) #dok3
  • analyze (relationships resulting from geometric constructions) #dok3
  • justify (conjectures using construction results) #dok3
Learning Targets
  • I can identify examples of congruent segments and angles, angle bisectors, and perpendicular bisectors in geometric figures. #dok1
  • I can use geometric constructions to create congruent segments, congruent angles, angle bisectors, and perpendicular bisectors. #dok2
  • I can use construction results to suggest possible relationships between geometric figures. #dok2
  • I can make conjectures about properties of geometric figures using my construction results. #dok3
  • I can explain and justify my conjectures about geometric relationships using evidence from constructions. #dok3
Big Ideas
  • Geometric constructions can reveal patterns and properties that support forming mathematical conjectures.
  • Using congruent segments, angles, angle bisectors, and perpendicular bisectors in constructions helps students understand and analyze relationships in geometric figures.
Essential Questions
  • How do constructions help us explore and discover relationships in geometry?
  • In what ways can constructing congruent segments and angles reveal patterns or properties in geometric figures?
  • What conjectures can we make based on constructing angle bisectors and perpendicular bisectors?
  • Why is it important to justify conjectures with evidence from constructions?
  • How can we use constructions to communicate our mathematical reasoning to others?