Geometry Section 6.6 Use Proportionality Theorems.

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Presentation transcript:

Geometry Section 6.6 Use Proportionality Theorems

Triangle Proportionality Theorem  If a line parallel to one side of a triangle intersects the other two sides, then it divides the two sides proportionally

Converse of the Triangle Proportionality Theorem  If a line divides two sides of a triangle proportionally, then it is parallel to the third side.

Theorem  If three parallel lines intersect two transversals, then they divide the transversals proportionally

Theorem  If a ray bisects an angle of a triangle, then it divides the opposite side into segments whose lengths are proportional to the lengths of the other two sides

Examples  classzone classzone

Assignment  Section 6.6  Page 400  Problems # 4-16 even, 24