Thales Theorem, If a line is parallel to one side of a triangle,, and intersects the other two sides,, then it divides those two sides proportionally., converse of Thales Theorem, If a line divides any two sides of a triangle in the same ratio,, then the two sides are divided proportionally,, and the line is parallel to the third side., Angle bisector theorem, An angle bisector of a triangle divides the opposite side into two parts,, and these two parts are proportional,, to the other two sides of the triangle.

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