IA1.GR.B: Conjecture about and verify geometric relationships.

Conjecture about and verify geometric relationships.

IA1.GR.B.3Apply triangle congruence theorems (SSS, SAS, ASA, AAS, HL) to reason logically about geometric diagrams, including verifying congruence and solving for unknown measures.IA1.GR.B.4Understand and apply theorems and criteria for parallel and perpendicular lines. a. Use theorems about parallel lines cut by a transversal to identify and apply angle pair relationships, including corresponding, alternate interior, alternate exterior, and consecutive interior angles. b. Verify the slope criteria for parallel and perpendicular lines and apply them to solve geometric problems (e.g., determine when lines are parallel or perpendicular and find equations of lines that satisfy given geometric conditions).IA1.GR.B.5Use angle relationships and slope criteria to verify properties of parallelograms. a. Use angle relationships from parallel lines and transversals, along with triangle congruence theorems, to verify properties of parallelograms, including congruent opposite sides, congruent opposite angles, and diagonals that bisect each other. b. Apply the slope criteria for parallel and perpendicular lines to verify when a quadrilateral is a parallelogram in a coordinate plane.

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