Using Properties of Parallel Lines Sec. 3.5 p. 157 GOAL: To use properties of parallel lines.

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Presentation transcript:

Using Properties of Parallel Lines Sec. 3.5 p. 157 GOAL: To use properties of parallel lines

Theorem 3.12 Theorem 3.12 – The 5 th way to prove two lines are parallel! m p In a plane, two lines perpendicular to the same line are parallel. n

Theorem 3.11 qpr If two lines are parallel to the same line, then they are parallel to each other.

Example Which lines if any must be parallel? e b c a d

Example Which lines if any must be parallel? c e a d b

Example Which lines if any must be parallel? m n dc

Two-Column Proof Given: Prove: Statements Reasons 1 2 B A C

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