Geometry Chapter 8

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

• Triangle Proportionality Theorem

• Side Angle Side Theorem

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

• Converse of the triangle proportionality Theorem

• Triangle Proportionality Theorem

• Side Angle Side Theorem

If three parallel lines intersect two transversals, then they divide the transversals ________

• Perpendicularly

• Proportionally

• Parallel

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

• segments whose length are proportional to the length of the one other side

• segments whose lengths are not proportional to the lengths of the other two sides

If an angle of one triangle is congruent to an angle of a second triangle and the lengths of the sides including these angles are proportional, THEN the triangles are similar

• AA: Angle Angle Similarity Theorem

• SSS: Side Side Side Similarity Theorem

• SAS: Side Angle Side Similarity Theorem

If the corresponding side lengths of two triangles are proportional, then the triangles are similar

• AA: Angle Angle Similarity Theorem

• SSS: Side Side Side Similarity Theorem

• SAS: Side Angle Side Similarity Theorem

Triangle Similarity Postulate and Theorems

• AA

• SAS

• AAA, SSS, SAS

• SAS, SSS, AA

If two angles of one triangle are congruent to 2 angles of another triangle, the two triangles are similar

• AA: Angle Angle Similarity Postulate

• SAS: Side Angle Side Similarity Theorem

• AA: Angle Angle Similarity Theorem

Two polygons are _____ if corresponding side lengths are proportional

• Perpendicular Polygons

• Parallel Polygons

• Similar Polygons

If two polygons are similar, then the ratio of the lengths of two corresponding sides is called the:

• Scale Factor

• Scale Ratio

• Scale Analysis