Download Prove Lines are Parallel

Prove Lines are Parallel
TINA COLLINS
ROSCOMMON HIGH SCHOOL
ROSCOMMON, MICHIGAN
EXAMPLES FROM MCDOUGAL LITTELL
GEOMETRY
Quick Logic Statement Lesson
 A conditional statement is an if-then statement. (Ex:
If today is Monday, then tomorrow is Tuesday.)
 The converse to a conditional statement switches the
if and then parts of the statement. (Ex: If tomorrow
is Tuesday, then today is Monday.)
 This lesson takes the postulates and theorems from
the last lesson and looks at the converse of each.
Proving Lines are Parallel
 Corresponding Angles Converse Postulate: If two lines
are cut by a transversal so that corresponding angles are
congruent, then the lines are parallel.
 Alternate Interior Angles Converse Theorem: If two lines
are cut by a transversal so that alternate interior angles
are congruent, then the lines are parallel.
 Alternate Exterior Angles Converse Theorem: If two lines
are cut by a transversal so that alternate exterior angles
are congruent, then the lines are parallel.
 Consecutive Interior Angles Converse Theorem: If two
lines are cut by a transversal so that consecutive interior
angles are supplementary, then the lines are parallel.
Time out
Examples
 Find the value of x that makes p || q.