GEOM.MATH.6.C
Apply the definition of congruence, in terms of rigid transformations, to identify congruent figures and their corresponding sides and angles.
Geometry · Texas Essential Knowledge and Skills (TEKS) · TEKS 2012
Standard Unwrapping
AI-generated as a starting point — sign in to edit.Vocabulary
definition of congruencerigid transformationscongruent figurescorresponding sidescorresponding angles
Skills
- apply (the definition of congruence using rigid transformations) #dok2
- identify (congruent figures as a result of rigid transformations) #dok2
- identify (corresponding sides and angles in congruent figures) #dok1
- compare (figures to determine congruence through rigid transformations) #dok2
Learning Targets
- I can identify corresponding sides and corresponding angles in congruent figures. #dok1
- I can apply the definition of congruence using rigid transformations to compare two figures. #dok2
- I can identify whether two figures are congruent by analyzing their images under rigid transformations. #dok2
- I can explain how rigid transformations show congruence of figures and their corresponding parts. #dok3
Big Ideas
- Congruence in geometry is established through rigid transformations that preserve size and shape.
- Corresponding parts of congruent figures remain equal after rigid transformations such as translations, reflections, and rotations.
Essential Questions
- What does it mean for two figures to be congruent?
- How do rigid transformations demonstrate congruence between two figures?
- How can you identify corresponding sides and angles in congruent figures?
- Why do rigid transformations preserve the congruence of figures?
- How can you prove two figures are congruent using rigid motions?