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Slopes of Parallel and Perpendicular Lines Objectives: 1. Discover the relationships between the slopes of parallel lines and perpendicular lines.

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What type of lines do lines “p” and “q” look like? parallel lines

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Calculate the slope of each.

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slope of p = slope of q = =

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What do you notice about the slopes of these two lines? The slopes are congruent. C-12: Parallel Slope Conj. In a coordinate plane, two lines are _____________if and only if their slopes are ____________. parallel congruent

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Are these lines parallel? slope a = - slope b = - NO – Slopes are not

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Are these lines parallel? slope c = slope d = = YES – Slopes are

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C-22 Perpendicular Slope Conjecture: Two nonvertical lines are _____________ if and only if their slopes are perpendicular opposite (or negative) reciprocals of each other.

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You will be shown the slopes of two lines. On the corner of your notes write down whether each pair of lines are parallel, perpendicular, or neither.

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1.slope of line r = slope of line s = These lines are parallel.

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2. slope of line t = slope of line u = These lines are perpendicular.

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3. slope of line t = slope of line u = These lines are parallel.

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4. slope of line t = slope of line u = NEITHER!! Slopes are not congruent or opposite reciprocals of each other.

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5. slope of line t = slope of line u = 7 Perpendicular.

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