Expressing Geometric Properties with Equations: Use coordinates to prove simple geometric theorems algebraically.
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Use coordinates and the distance formula to compute perimeters of polygons and areas of triangles and rectangles.
Use coordinates to prove simple geometric theorems algebraically.
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).
Find the point on a directed line segment between two given points that partitions the segment in a given ratio.