Define trigonometric ratios and solve problems involving right triangles. (Geometry - Major Cluster) - Use trigonometric ratios and the Pythagorean Theorem to solve right triangles in applied problems. ★
Prove geometric theorems. (Geometry - Major Cluster) - Prove theorems about parallelograms; use theorems about parallelograms to solve problems. Theorems include: opposite sides are congruent, opposite angles are congruent, the diagonals of a parallelogram bisect each other, and conversely, rectangles are parallelograms with congruent diagonals.
Experiment with transformations in the plane. (Geometry - Supporting Cluster) - Know precise definitions of angle, circle, perpendicular line, parallel line, and line segment, based on the undefined notions of point, line, distance along a line, and distance around a circular arc.
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