Download Geometry Reference Sheet Chapter 8 2016

Geometry Reference Sheet Chapter 8 2016-2017
Theorems and Corollaries
Angle-Angle (AA)
If two angles of one triangle are congruent to two angles of
Similarity Theorem
another triangle, then the two triangles are similar.
Areas of Similar Polygons If two polygons are similar, then the ratio of their areas is equal to
Theorem
the square of the ratio of their corresponding side lengths.
Perimeters of Similar
If two polygons are similar, then the ratio of their perimeters is
Polygons Theorem
equal to the ratio of their corresponding side lengths.
Side-Angle-Side (SAS)
If an angle of one triangle is congruent to an angle of a second
Similarity Theorem
triangle and the lengths of the sides including these angles are
proportional, then the triangles are similar.
Side-Side-Side (SSS)
If the corresponding side lengths of two triangles are
Similarity Theorem
proportional, then the triangles are similar.
Three Parallel Lines
If three parallel lines intersect two transversals, then they divide
Theorem
the transversals proportionally.
Triangle Angle Bisector
If a ray bisects an angle of a triangle, then it divides the opposite
Theorem
side into segments whose lengths are proportional to the lengths
of the other two sides.
Triangle Proportionality
If a line parallel to one side of a triangle intersects the other two
Theorem
sides, then it divides the two sides proportionally.
(Converse of) Triangle
If a line divides two sides of a triangle proportionally, then it is
Proportionality Theorem parallel to the third side.