Unit 3:
Exploring Congruence
G.GSR.3: Experiment with transformations in the plane to develop precise definitions for translations, rotations, and reflections and use these to describe symmetries and congruence to model and explain real-life phenomena.
Learning Goals:
- I can use lines of symmetry to develop the reflections that carry a figure onto itself.
- I use translational symmetry to develop the translations that carry a figure onto itself.
- I can use rotational symmetry to develop the rotations that carry a figure onto itself.
- I can graph and describe the effects of a single transformation using rotational, translational, and lines of symmetry.
- I can define and verify translation, rotation, and reflection as rigid motions.
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Learning Goals:
- I can write statements of congruency for the sides and angles
- I can prove figures are congruent using rigid motion transformations.
- I can describe the effect of a single transformation.
- I can write the function notation of a single transformation from an image mapping onto a preimage.
- I can identify the relationship between the coordinates and the transformation properties.
- I can write statements of congruency for the sides and angles.
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Learning Goals:
- I can prove two triangles are congruent and use the congruency criteria to solve applied or geometric problems. (SSS, SAS, ASA, AAS, HL)
- I can apply the properties of congruency to solve problems involving corresponding parts.
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