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Transcript
MPM 1DI : Unit 9
Geometry Theorems
Parallel Lines Theorem (PLT)
If two parallel lines are cut by a transversal, the following are true:
a) Alternate angles are
b) Corresponding angles are
c) The co-interior angles on the same
equal
equal
side of the transveral add to 180º
a
b
Angle Sum of a Triangle Theorem (AST)
or Interior Angle Theorem (IAT)
Exterior Angle Theorem (EAT)
A
x
A + B + C = 180
B
z
y
C
Isosceles Triangle Theorem (ITT)
Equilateral Triangle Theorem (ETT)
Opposite Angle Theorem (OAT)
Isosceles Triangle Theorem (ITT) Converse
Equilateral Triangle Theorem (ETT) Converse
Exterior Angle Sum of a Polygon (EAS)
a
a
d
b
c
c
b
Supplementary Angles (supp ’s)
x
y
Complimentary Angles (comp ’s)
x
y