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3.4 Parallel and Perpendicular Lines
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Objectives
Understand the difference between parallel and perpendicular linesUse the properties of parallel and perpendicular lines to solve for angle measurements
Parallel and Perpendicular Lines
Parallel linesCoplanar lines that do not intersectPerpendicular linesCoplanar lines that intersect at 90o
Parallel Lines
PerpendicularLines
Transitive Property ofParallel Lines
Theorem 3.7 –if two lines are parallel to the same line, then they are parallel to each other
If a || b and b || c
then a || c
Theorem 3.8
Theorem 3.8 –if two lines are perpendicular to the same line, then they are parallel to each other.
Notation forPerpendicular
Perpendicular Transversal Theorem
Theorem 3.9 –if a line is perpendicular to one of two parallel lines, then it is also perpendicular to the other
IF
Then
Take Home Message
Parallel vs PerpendicularPerpendicularTransversal Theorem

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3-4 PP