Download File

ADVANCED GEOMETRY
5.2 Proving that Lines are Parallel
Learner Objective: I will apply the Exterior Angle theorem and will use angles formed by a transversal
to prove that lines are parallel.
Given lines m and n cut by transversal t:
Name the pairs of alternate interior angles.
Name the pairs of corresponding angles.
Name the pairs of alternate exterior angles.
Name pairs of angles that are interior angles on the
same side of the transversal.
Name pairs of angles that are exterior angles on the
same side of the transversal.
An ______________________________ of a
triangle is formed whenever a side of the triangle
is extended to form an angle supplementary to
the adjacent interior angle.
The two other interior angles are referred to as
____________________________________
The Exterior Angle Inequality Theorem
The measure of an exterior angle of a triangle is
_______________________ the measure of either
________________________________________
mBCD  ______ mBCD  ______
Proving that Lines are Parallel
If two lines are cut by a transversal such that two ________________
____________________ are congruent, then the lines are
_______________.
If two lines are cut by a transversal such that two ________________
____________________ are congruent, then the lines are
_______________.
If two lines are cut by a transversal such that two _______________
____________________ are congruent, then the lines are
_______________.
If two lines are cut by a transversal such that two _______________
______________________________________ are supplementary,
then the lines are _______________.
If two lines are cut by a transversal such that two _______________
______________________________________ are supplementary,
then the lines are _______________.
If two coplanar lines are _____________________ to a third line,
they are ____________________.