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Use coordinates to prove simple geometric theorems algebraically.

by Allen Wolmer

Use coordinates to prove simple geometric theorems algebraically. For example, prove or disprove that a figure defined by four given points in the coordinate plane is a rectangle; prove or disprove that the point (1,?3) lies on the circle centered at the origin and containing the point (0,2).Exercises from Illustrative MathematicsA set of 2 exercises, commentary, and solutions
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Using coordinates, students prove that the intersection of the medians of a triangle meet at a point

by Allen Wolmer

Using coordinates, students prove that the intersection of the medians of a triangle meet at a point that is two-thirds of the way along each median from the intersected vertex.Using coordinates, students prove the diagonals of a parallelogram bisect one another and meet at the intersection of the segments joining the midpoints of opposite sides.Teacher and Student versions of full lesson from engageNY
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