Publish on 25th October 2019
Category: Birds
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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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