7.2.1 Applying Properties of Similar Triangles

Question 1

Triangle Proportionality Theorem

Answer 1

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

Question 2

Converse of the Triangle Proportionality Theorem

Answer 2

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

Question 3

Two-Transversal Proportionality Corollary

Answer 3

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

Question 4

Triangle Angle Bisector Theorem

Answer 4

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.