Similar Triangles:
Postulate: The AA Similarity Postulate:
If two angles of a triangle are congruent with two angles of
another triangle then the triangles are similar.
Theorem: The SAS Similarity Theorem:
If an angle of a triangle is congruent with another angle of a
different triangle and their sides including the angles are in
proportion then, the triangles are similar.
Theorem: The SSS Similarity Theorem:
If the sides of a two triangles are in proportion then, the
triangles are similar.
Theorem: Triangle Proportionality Theorem:
If a line parallel to one of the sides of a triangle intersects
the other two sides then, the line divides those sides
proportionally.
Corollary:
If three parallel lines intersect two transversals then, the
parallel lines divide the transversal proportionally.
Theorem: The Triangle Angle-Bisector Theorem:
If a ray bisects an angle of a triangle, then it divides the
opposite side of the angle into segments proportional to the
other two sides.
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