Download Geometry 6.6 Notes Proportions and Similar Proportions The

Geometry
6.6 Notes
Proportions and Similar Proportions
The 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.
Examples.
1) Find .l)~
E
\3
N
L-~-""",,
~
'"?
3) Find x Q.;
L---~.....-.
4) Find x
~
5) Find x and y
6) Find a
\
\d,
\I
7) Find x
8) Find x and y
5
9) Find BC and AC)
o
s.
~\
c.