Use coordinates to prove simple geometric theorems algebraically.
Expressing Geometric Properties with Equations
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Use coordinates to prove simple geometric theorems algebraically including the distance formula and its relationship to the Pythagorean Theorem.
Use coordinates to compute perimeters of polygons and areas of triangles and rectangles (e.g., using the distance formula).
Find the point on a directed line segment between two given points that partitions the segment in a given ratio.
Prove the slope criteria for parallel and perpendicular lines and use them to solve geometric problems (e.g., find the equation of a line parallel or perpendicular to a given line that passes through a given point).