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Chapter 11 Conjectures
Section
Page #
11.1
Term/Conjecture
Definition
Drawing/Sketch/Example
Dilation Similarity
If one polygon is a _______________image
of another polygon, then the polygons are
________________________________.
11.2
AA Similarity
If _____ angles of one triangle are congruent
to _____ angles of another triangle, then the
triangles are ________________________.
11.2
SSS Similarity
If the _____ sides of one triangle are
proportional to the _____ sides of another
triangle, then the triangles are
________________________________.
11.2
SAS Similarity
If _____ sides of one triangle are
proportional to _____ sides of another
triangle, and the _______________angles
are _______________, then the triangles are
________________________________.
11.4
Proportional Parts If two triangles are similar, then the lengths
of the corresponding _________________,
________________ and ________________
are _______________________ to the
lengths of the corresponding sides.
11.4
Angle Bisector /
A bisector of a angle in a triangle divides the
Opposite Side
opposite side into two segments whose
lengths are in the same ratio as the_______
____________________________________
____________________________________
11.5
Proportional
If corresponding side lengths of two similar
Areas
polygons or the radii of two circles compare
in the ratio
the ratio
m
, then their areas compare in
n
or
11.6
Proportional
If corresponding edge lengths (or radii, or
Volumes
heights) of two similar solids compare in the
ratio
ratio
11.7
m
, then their volumes compare in the
n
or
Parallel
If a line parallel to one side of a triangle
Proportionality
passes through the other two sides, then it
divides the other two sides______________.
Conversely, if a line cuts two sides of a
triangle proportionally, then it is
___________________to the third side.
11.7
Extended Parallel
If ____________________ lines pass
Proportionality
through two sides of a triangle parallel to
the third side, then they divide the third side
____________________________.