Pairs of Lines Lesson 2 3 Pairs of

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Pairs of Lines Lesson 2 -3: Pairs of Lines 1

Pairs of Lines Lesson 2 -3: Pairs of Lines 1

Parallel Lines l l l Parallel lines are coplanar lines that do not intersect.

Parallel Lines l l l Parallel lines are coplanar lines that do not intersect. Arrows are used to indicate lines are parallel. The symbol used for parallel lines is ||. In the above figure, the arrows show that line AB is parallel to line CD. || With symbols we denote, . Lesson 2 -3: Pairs of Lines 2

PERPENDICULAR LINES l l l Perpendicular lines are lines that intersect to form a

PERPENDICULAR LINES l l l Perpendicular lines are lines that intersect to form a right angle. The symbol used for perpendicular lines is . 4 right angles are formed. m In this figure line m is perpendicular to line n. n With symbols we denote, m n Lesson 2 -3: Pairs of Lines 3

OBLIQUE LINES l l Oblique lines are lines that intersect, but do NOT form

OBLIQUE LINES l l Oblique lines are lines that intersect, but do NOT form a right angle. m n Lesson 2 -3: Pairs of Lines 4

Skew Lines and Parallel Planes l l Two lines are skew if they do

Skew Lines and Parallel Planes l l Two lines are skew if they do not intersect and are not in the same plane (not coplanar). Ex: All planes are either parallel or intersecting. Parallel planes are two planes that do not intersect. Ex: Plane ABC and Plane EFG Lesson 2 -3: Pairs of Lines 5

Examples: 1. 2. 3. 4. Name all segments that are parallel to Name all

Examples: 1. 2. 3. 4. Name all segments that are parallel to Name all segments that intersect Name all segments that are skew to Name all planes that are parallel to plane ABC. Answers: 1. Segments BC, FG, & EH. 2. Segments DH, DC, AE & AB. 3. Segments CG, BF, FE, & GH. 4. Plane FGH. Lesson 2 -3: Pairs of Lines 6

Slope of Parallel and Perpendicular lines l The slope of the non vertical line

Slope of Parallel and Perpendicular lines l The slope of the non vertical line through the points and is m= The slope of a vertical line is not defined. The slope of a horizontal line is zero. Two lines are parallel if and only if they have equal slopes. Two lines are perpendicular if and only if the product of their slopes is -1 (reciprocals and opposite signs). Lesson 2 -3: Pairs of Lines 7

Undefined slope Zero slope What is the slope of line A? A B What

Undefined slope Zero slope What is the slope of line A? A B What is the slope of line B? What do we know about the two lines? Lesson 2 -3: Pairs of Lines 8

B What is the slope of line A? What is the slope of line

B What is the slope of line A? What is the slope of line B? A What do we know about the two lines? Lesson 2 -3: Pairs of Lines 9

Pairs of Lines 1 Parallel Lines Parallel linesPairs of Lines 1 Parallel Lines Parallel lines
COLLABORATIVE PAIRS WHAT IS COLLABORATIVE PAIRS Collaborative pairsCOLLABORATIVE PAIRS WHAT IS COLLABORATIVE PAIRS Collaborative pairs
Lesson 2 3 Pairs of Lines Lesson 2Lesson 2 3 Pairs of Lines Lesson 2
Lesson 2 3 Pairs of Lines Lesson 2Lesson 2 3 Pairs of Lines Lesson 2
Lesson 2 3 Pairs of Lines Lesson 2Lesson 2 3 Pairs of Lines Lesson 2
Lesson 2 3 Pairs of Lines Lesson 2Lesson 2 3 Pairs of Lines Lesson 2
Part 1 Coinciding Lines Parallel Lines Coinciding LinesPart 1 Coinciding Lines Parallel Lines Coinciding Lines
Skew Lines Skew Lines The two given linesSkew Lines Skew Lines The two given lines