CHAPTER 3 SECTION 6.

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Presentation transcript:

CHAPTER 3 SECTION 6

Using Perpendicular and Parallel Lines: Goal: Construct parallel and perpendicular lines. Use properties of parallel and perpendicular lines. A construction is a geometric drawing that uses a limited set of tools, usually a compass and a straightedge. Parallel Postulate: Words: if there is a line and a point not on the line, then there is exactly one line through the point parallel to the given line. Symbols: if P is not on line l, then there exists one line m through P such that mǁ l.

Perpendicular Postulate: Words: if there is a line and a point not on the line, then there is exactly one line through the point perpendicular to the given line. Symbol: if P is not on line l, then there exists one line through P such that m l.

Theorem 3.11 Words: If two lines are parallel to the same line, then they are parallel to each other. Symbols: If q ǁ r and r ǁ s, then q ǁ s. q r s

Theorem 3.12 Words: In a plane, if two lines are perpendicular to the same line, then they are parallel to each other. Symbols: If m p and n p then m ǁ n. m n p

Examples: m 2x + 2 n Find the value of x that makes m ǁ n.

p q 3x + 28 5x Find the value of x so that p ǁ q.

PRACTICE PAGE 147 – 149 1-21,27-32

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