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Dividing Line Segments

Applying the formula to find a point on a given line segment, that divides the segment in a fixed ratio.

Mapped to CCSS Section# HSG.GPE.B.4, HSG.GPE.B.6

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). Find the point on a directed line segment between two given points that partitions the segment in a given ratio.