Download Ch 11 Vocab and Conjectures

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Chapter 11
Vocabulary & Conjectures
11.1
Similar Polygons
11.1
Dilation
11.1
Dilation Similarity
Conjecture
11.2
AA Similarity
Conjecture
11.2
SSS Similarity
Conjecture
11.2
SAS Similarity
Conjecture
If one polygon is a dilated image of
another polygon, then
______________________________
If ______ angles of one triangle are
congruent to ______ angles of another
triangle, then
____________________________.
If the three sides of one triangle are
proportional to the three sides of
another triangle, then the two triangles
are __________________.
If two sides of one triangle are
proportional to two sides of another
triangle and
_____________________________,
then the _______________________.
Indirect Measurement
11.3
11.4
Proportional Parts
Conjecture
If two triangles are similar, then the
lengths of the corresponding
____________, ____________, and
____________ are _______________
to the lengths of the corresponding
sides.
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11.4
11.5
11.6
11.7
11.7
Angle
Bisector/Opposite
Side Conjecture
Proportional Areas
Conjecture
(and Surface Areas)
Proportional
Volumes Conjecture
A bisector of an angle in a triangle
divides the opposite side into two
segments whose lengths are in the
same ratio as
_______________________________
_______________________________.
If corresponding side lengths of two
similar polygons or the radii of two
circles compare in the ratio m/n, then
their areas compare in the ratio
__________.
If corresponding edge lengths (or radii,
or heights) of two similar solids
compare in the ratio m/n, then their
volumes compare in the ratio
________.
If a line parallel to one side of a
triangle passes through the other two
sides, then it divides the other two
Parallel/Proportional
sides ________________.
ity Conjecture
Conversely, if a line cuts two sides of a
triangle proportionally, then it is
______________ to the third side.
If two or more lines pass through two
sides of a triangle parallel to the third
Extended
Parallel/Proportional side, then they divide the two sides
________________________.
ity Conjecture
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