Parallel and Perpendicular Lines Answers

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1
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Consider the diagram.

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A
RX
B
TX
C
SR
D
XS
2
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In the diagram shown, the distance between points A and C is the same as the distance between points B and G.

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A
non-coplanar.
B
parallel.
C
perpendicular.
D
skew.
3

Consider the diagram.

Question illustration
A
coplanar.
B
parallel.
C
perpendicular.
D
skew.
4

In the diagram, the length of segment VS is 39 units.

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A
14 units
B
19 units
C
38 units
D
50 units
5

Consider the diagram.

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A
7
B
9
C
18
D
25
6

Planes Q and R are parallel planes. Plane Q contains line a. Plane R contains line b.

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A
lines a and b must be parallel.
B
lines a and b cannot be parallel.
C
lines a and b must be skew.
D
lines a and b must be perpendicular.
7

Janelle says that lines l and m are skew lines.

Question illustration
A
Yes, because the lines are not parallel.
B
Yes, because the lines will intersect.
C
No, because the lines are in the same plane.
D
No, because the lines are perpendicular.
8

Gerald is constructing a line parallel to line l through point P. He begins by drawing line m through points P and Q. He then draws a circle centered at Q, which intersects line l at point N and line m at point S. Keeping the compass measure, he draws a congruent circle centered at point P, which intersects line m at point T.Which next step will create point R, such that when a line is drawn through points P and R, the line will be parallel to line l?

Question illustration
A
Use the compass to construct a circle centered at Q through point P.
B
Using the compass measure between points S and N, draw an arc to the right of line m, centered at T, intersecting the edge of circle P.
C
Using the compass measure between points S and N, draw an arc above line l, centered at N, intersecting the edge of circle Q.
D
Use the compass to construct a circle centered at P through point Q.
9

Consider the diagram.

Question illustration
A
non-coplanar.
B
parallel.
C
perpendicular.
D
skew.
10

In the diagram, TQ is 18 units in length.

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A
16 units
B
18 units
C
25 units
D
46 units
11

In the diagram, the length of segment BC is 23 units.

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A
13 units
B
18 units
C
33 units
D
46 units
12

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

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A
They are parallel lines.
B
They are perpendicular lines.
C
They are skew lines.
D
They will intersect.
13

Kevin says that lines p and m will eventually intersect.

Question illustration
A
No, because they are non-coplanar.
B
No, because they are parallel.
C
Yes, because they are perpendicular.
D
Yes, because they are coplanar.
14

Consider the incomplete paragraph proof.Given: P is a point on the perpendicular bisector, l, of MN.Prove: PM = PN

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A
point M
B
point Q
C
segment PM
D
segment QM
15

In the diagram, line a is the perpendicular bisector of KM.

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A
22 units
B
40 units
C
44 units
D
80 units
16

In the diagram, the length of segment TQ is 40 units.

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A
32 units
B
36 units
C
40 units
D
44 units

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