AnswersVOA Math VT Advanced Algebra and Functions CR 1ADiagnostic PreTest

Slopes of Parallel and Perpendicular Lines Answers

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1
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On a coordinate plane, line A B goes through (negative 4, 0) and (2, negative 3). Point C is at (negative 2, 2).

Question illustration
A
(1, 0)
B
(1, 1)
C
(0, 2)
D
(2, 0)
2
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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.
3

Determine the missing information in the paragraph proof.Given: Line PQ contains points (w, v) and (x, z) and line P'Q' contains points (w + a, v + b) and (x + a, z + b). Lines PQ and P'Q' are parallel.Prove: Parallel lines have the same slope.

Question illustration
A
Option
Option A
B
Option
Option B
C
StartFraction v minus z + b Over x minus z + a EndFraction
Option C
D
StartFraction w minus x + a Over v minus z + b EndFraction
Option D
4

On a coordinate plane, 4 lines are shown. Line L M goes through (negative 5, negative 3) and (0, 3). Line N O goes through (negative 6, negative 5) and (0, 0). Line J K goes through (negative 6, 1) and (0, negative 4). Line P Q goes through (negative 5, 4) and (0, negative 2).

Question illustration
A
line JK
B
line LM
C
line NO
D
line PQ
5

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

Question illustration
A
line AB
B
line CD
C
line FG
D
line HJ
6

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
7

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)
8

On a coordinate plane, a line F G goes through (negative 8, negative 8) and (8, 4). Point H is at (6, negative 6).

Question illustration
A
(–6, 10)
B
(–2, –12)
C
(0, –2)
D
(4, 2)
9

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)
10

Which statements are true about these lines? Select three options.

A
The slope of line MN is .
Option A
B
The slope of line PQ is undefined.
C
The slope of line RS is .
Option C
D
Lines RS and TV are parallel.
E
Line RS is perpendicular to both line MN and line PQ.

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