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Theorem 7.1 Perimeters of Similar Polygons
If two polygons are similar, then the ratio of their perimeters is equal to the ratios of their corresponding side lengths
Theorem 7.2 Areas of Similar Polygons
If two polygons are similar, then the ratio of their areas is equal to the squares of their corresponding side
Angle-Angle Similarity Theorem
If two angles of one triangle are congruent to two angles of another triangle, then the two triangles are dimilar
Theorem 7.4 Side-Side-Side Similarity Theorem
If the corresponding side lengths of two triangles are proportional, then the triangles are similar
Theorem 7.5 Side-Angle-Side Similarity Theorem
If and angle of one triangle is congruent to and angle of a second triangle and the length of the sides including these angles are proportional, then the triangles are similar.
Theorem 7.6 Triangle Property Theorem
If a line to one side intersects the other two sides, then it divides the two sides proportionally
Theorem 7.7 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 7.8 Three Parallel Lines Theorem
If three parallel lines intersect two transversals, then they divide the transversals proportionally
Theorem 7.9 Triangle Bisector Theorem
If a bray bisects an angle of a triangle, then it divides the oposite sides into segments whose lengths are proportional to the lengths of the two other sides
