Proving Lines Parallel — Unit test Answers

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In the diagram, CE=12 units and BE=5 units.

Question illustration
A
2 units
B
7 units
C
12 units
D
17 units
42
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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
43

Consider the diagram.

Question illustration
A
non-coplanar.
B
parallel.
C
perpendicular.
D
skew.
44

Parallel lines e and f are cut by transversal b.

Question illustration
A
1
B
5
C
25
D
37
45

In the diagram shown, the distance between points A and C is the same as the distance between points B and G.

Question illustration
A
non-coplanar.
B
parallel.
C
perpendicular.
D
skew.
46

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)
47

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.
48

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
49

Planes Q and R are parallel. Lines a and b are shown on planes Q and R, respectively.

Question illustration
A
They are parallel lines.
B
They are perpendicular lines.
C
They are skew lines.
D
They will intersect.
50

Which equation is enough information to prove that lines m and n are parallel lines cut by transversal p? Select three options.

A
a = c
B
a = d
C
c = d
D
b + c = 180°
E
b + d = 180°

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