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CCGPS Analytic Geometry
Parallel Lines
A ______________________ is a line that intersects two or more coplanar lines
at different points.
Example:
Two angles are __________________________________if they occupy
corresponding positions.
Examples:
Two angles are ______________________________________ if they lie
between the two lines on opposite sides of the transversal.
Examples:
Two angles are ______________________________________ if they lie outside
the two lines on opposite sides of the transversal.
Examples:
Two angles are ______________________________________ if they lie
between the two lines on the same side of the transversal.
*Consecutive interior angles is also called same side interior angles.
Examples:
You Try!
Date: _____________
If two parallel lines are cut by a
transversal, then the pairs of
corresponding angles are congruent.
If two parallel lines are cut by a
transversal, then the pairs of alternate
interior angles are congruent.
If two parallel lines are cut by a
transversal, then the pairs of consecutive
interior angles are supplementary.
If two parallel lines are cut by a
transversal, then the pairs of alternate
exterior angles are congruent.
If a transversal is perpendicular to one of
two parallel lines, then it is perpendicular
to the other.
Corresponding Angles Converse: If two lines are cut by a transversal so that corresponding angles are
congruent, then the lines are parallel.
Alternate Interior Angles Converse: If two lines are cut by a transversal so that alternate interior angles are
congruent, then the lines are parallel.
Consecutive Interior Angles Converse: If two lines are cut by a transversal so that consecutive interior
angles are supplementary, then the lines are parallel.
Alternate Exterior Angles Converse: If two lines are cut by a transversal so that alternate exterior angles
are congruent, then the lines are parallel.
If two lines intersect to form a ______________________ of
congruent angles, then the lines are _______________________.
If two sides of two _________________ acute angles are
perpendicular, then the angles are ________________________.
If two lines are _________________________, then they intersect
to form four right angles.
Given: p || r , 1  3
Prove: ℓ || m
STATEMENTS
REASONS
p r
3  2
1  3
1  2
l m
STATEMENTS
p q
1  3
m1  m3
 2 and  3 form a linear pair
m3  m2  180
m1  m2  180
 1 and  2 are supplementary
REASONS