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11.7 Proportional Segments Between Parallel Lines

Parallel/Proportionality Conjecture:

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If a line parallel to one side of a triangle passes through the other two sides, then it divides the other two sides proportionally.

Conversely, if a line cuts two sides of a triangle proportionally, then it is parallel to the third side.

Extended Parallel/Proportionality Conjecture

If two or more lines pass through two sides of a triangle parallel to the third side, they divide the two sides proportionally.

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