Parallel and Perpendicular Lines Answers

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Consider the diagram.

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

Consider the diagram.

Question illustration
c
coplanar.
p
parallel.
p
perpendicular.
s
skew.
6

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

Question illustration
l
lines a and b must be parallel.
l
lines a and b cannot be parallel.
l
lines a and b must be skew.
l
lines a and b must be perpendicular.
7

Planes T and X are parallel. Plane T contains line a. Plane X contains line b.

Question illustration
A
They are skew and will never intersect.
B
They are parallel and will never intersect.
C
They are perpendicular and will intersect.
D
They will intersect at two points.
8

Planes T and X are parallel. Plane T contains line a. Plane X contains line b.

Question illustration
A
They are skew and will never intersect.
B
They are parallel and will never intersect.
C
They are perpendicular and will intersect.
D
They will intersect at two points.
9

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.
11

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

Question illustration
A
point M
B
point Q
C
segment PM
D
segment QM
12

Consider the diagram.

Question illustration
A
7
B
9
C
18
D
25
14

Consider the diagram.

Question illustration
A
SR
B
TR
C
ST
D
QS
15

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.
16

Janelle says that lines l and m are skew lines.

Question illustration
Y
Yes, because the lines are not parallel.
Y
Yes, because the lines will intersect.
N
No, because the lines are in the same plane.
N
No, because the lines are perpendicular.
17

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
U
Use the compass to construct a circle centered at Q through point P.
U
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.
U
Using the compass measure between points S and N, draw an arc above line l, centered at N, intersecting the edge of circle Q.
U
Use the compass to construct a circle centered at P through point Q.
19

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

Question illustration
A
22 units
B
40 units
C
44 units
D
80 units
20

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.

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