Applying Properties of Similar Triangles Flashcards

1
Q

What is the Triangle Proportionality Theorem?

A

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

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2
Q

What is the Converse of the Triangle Proportionality Theorem?

A

If a line divides two sides of a triangle proportionally, then it is a parallel to the third side.

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3
Q

What is the Two-Transversal Proportionality Corollary?

A

If three or more parallel lines intersect two transversals, then they divide the transversals proportionally.

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4
Q

What is the Triangle Angle Bisector Theorem?

A

An angle bisector of a triangle divides the opposite side into two segments whose lengths are proportional to the lengths of the other two sides.

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