Download Linear Pair Postulate

CROSS PRODUCT PROPERTY
The product of the means equals
the product of the extremes
GEOMETRIC MEAN
It is the square root of the product.
SIMILAR POLYGONS
The corresponding angles are
congruent.
The corresponding sides are
proportional
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.
This is the
scale factor.
CORRESPONDING LENGTHS IN SIMILAR
POLYGONS
If two polygons are similar, then the ratio of any
two corresponding lengths in the polygon
is equal to the scale factor of the similar
polygons.
WAYS TO SHOW TRIANGLES ARE SIMILAR
AA (Angle – Angle) Similarity Postulate
SSS (Side – Side – Side) Similarity Theorem
SAS (Side – Angle – Side) Similarity Theorem
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.
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 6.6
If three parallel lines intersect two transversals,
then they divide the transversals proportionally
THEOREM 6.7
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.