Notes: Include multi-step proofs and algebraic problems built upon these concepts. Examples of theorems include but are not limited to: If a line parallel to one side of a triangle intersects the other two sides of the triangle, then the line divides these two sides proportionally (and conversely). The length of the altitude drawn from the vertex of the right angle of a right triangle to its hypotenuse is the geometric mean between the lengths of the two segments of the hypotenuse. The centroid of the triangle divides each median in the ratio 2:1.
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