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Transcript
Geometry
Chapter 6
Postulates
Triangle Proportionality Theorem: If a line parallel to one
side of a triangle intersects the other two sides, then it divides the
two sides proportionally.
6.4
Angle-Angle Similarity (AA~) Postulate: If two angles of
one triangle are congruent to two angles of another triangle, then
the two triangles are similar.
22


Converse of the Triangle Proportionality Theorem: If a
line divides two sides of a triangle proportionally, then it is parallel
to the third side.
6.5
Theorems

If two polygons are similar, then the ratio of their perimeters is
equal to the ratios of their corresponding sides.
6.1
KLMN ~ PQRS 
If three parallel lines intersect two transversals, then they divide
the transversals proportionally.
6.6
Side-Side-Side Similarity (SSS~) Theorem: If the
corresponding side lengths of two triangles are proportional, then
the triangles are similar.
6.2


Side-Angle-Side Similarity (SAS~) Theorem: 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.
6.3

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.
6.7
