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

Slopes of Parallel and Perpendicular Lines Answers

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On a coordinate plane, line K L goes through (negative 6, 8) and (6, 0). Point M is at (negative 4, negative 2).

Question illustration
A
(–10, 0)
B
(–6, 2)
C
(0, –6)
D
(8, –10)
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.(–8, 8) and (2, 2)(–5, –1) and (0, 2)(–3, 6) and (6, –9) (–2, 1) and (3, –2) (0, 2) and (5, 5)

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)
4

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
5

On a coordinate plane, line A B goes through (negative 2, 4) and (2, negative 8). Point C is at (6, 4).

Question illustration
A
(–6, 0)
B
(0, –6)
C
(0, 2)
D
(2, 0)
6

On a coordinate plane, 4 lines are shown. Line A B goes through (negative 4, 3) and (4, 3). Line C D goes through (negative 3, 0) and (3, 2). Line F G goes through (negative 3, negative 1) and (3, negative 3). Line H J goes through (negative 1, negative 4) and (1, 2).

Question illustration
A
line AB
B
line CD
C
line FG
D
line HJ
7

On a coordinate plane, line M N goes through (negative 4, 0) and (4, 2). Point P is at (2, negative 4).

Question illustration
A
(0, 1)
B
(0, 4)
C
(1, 0)
D
(4, 0)
8

A line has a slope of . Which ordered pairs could be points on a line that is perpendicular to this line? Select two options.(–2, 0) and (2, 5)(–4, 5) and (4, –5)(–3, 4) and (2, 0)(1, –1) and (6, –5)(2, –1) and (10, 9)

Question illustration
A
(–2, 0) and (2, 5)
B
(–4, 5) and (4, –5)
C
(–3, 4) and (2, 0)
D
(1, –1) and (6, –5)
E
(2, –1) and (10, 9)
9

On a coordinate plane, 2 lines are shown. Line M N goes through (negative 4, 8) and (negative 4, negative 6). Line K L goes through (negative 8, 2) and (6, 2).

Question illustration
A
The lines intersect at point K.
B
The lines are parallel.
C
The lines are perpendicular.
D
The lines do not have slopes.
10

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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