AnswersOC27 GEO-1206310-S1-Degele-VOL7006PSlopes of Parallel and Perpendicular Lines

Slopes of Parallel and Perpendicular Lines Answers

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Determine the missing information in the paragraph proof.Given: Line PQ is rotated 90° counterclockwise to form line P’Q’. The lines are perpendicular. Line PQ contains the points (a, b) and (c, d). Line P’Q’ contains the points (–b, a) and (–d, c).Prove: The slopes of perpendicular lines are negative reciprocals.

Question illustration
A
(StartFraction d minus b Over c minus a EndFraction) (StartFraction c minus a Over negative d + b EndFraction) = negative 1
Option A
B
(StartFraction b minus a Over a + b EndFraction) (StartFraction c minus d Over negative d minus c EndFraction) = negative 1
Option B
C
(StartFraction d minus b Over c minus a EndFraction) (StartFraction c minus a Over negative d + b EndFraction) = 1
Option C
D
(StartFraction b minus a Over a + b EndFraction) (StartFraction c minus d Over negative d minus c EndFraction) = 1
Option D
2
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Which statements are true about these lines? Select three options.

A
Line RS has a slope of 6.
B
Line SW has an undefined slope.
C
Line TV has a slope of 0.
D
Lines RS and TV are parallel.
E
Line SW is perpendicular to line RS, but not to line TV.
3

A line has a slope of . Which ordered pairs could be points on a parallel line? Select two options.

Question illustration
A
(–8, 8) and (2, 2)
B
(–5, –1) and (0, 2)
C
(–3, 6) and (6, –9)
D
(–2, 1) and (3, –2)
E
(0, 2) and (5, 5)
6

Line WV is perpendicular to both line RS and line TU.

Question illustration
A
Line TU is parallel to line RS.
B
Line TU is perpendicular to line RS.
C
Line TU has no slope.
D
Line TU has a slope of –5.

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Slopes of Parallel and Perpendicular Lines…