IA1.GR.A: Reason about transformations and congruence.

Reason about transformations and congruence.

IA1.GR.A.1Apply definitions of rotations, reflections, and translations to transform figures and use these transformations to verify congruence. a. Describe rotations, reflections, and translations as functions that take points in the plane as inputs and give corresponding points as outputs. b. Verify experimentally that rigid transformations preserve distance, angle measure, and parallelism, and use this understanding to justify congruence.IA1.GR.A.2Use the definition of congruence in terms of rigid motions to show that two triangles are congruent if and only if corresponding pairs of sides and corresponding pairs of angles are congruent.

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