Answers26-27 SHS Geometry AIntroduction to Transformations

Parallel and Perpendicular Lines Answers

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

Question illustration
p
point M
p
point Q
s
segment PM
s
segment QM
2
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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.
3

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

Question illustration
A
13 units
B
18 units
C
33 units
D
46 units
4

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

Question illustration
n
non-coplanar.
p
parallel.
p
perpendicular.
s
skew.
5

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

Question illustration
A
14 units
B
19 units
C
38 units
D
50 units
6

Consider the diagram.

Question illustration
S
SR
T
TR
S
ST
Q
QS
7

Consider the diagram.

Question illustration
7
7
9
9
1
18
2
25
8

Consider the diagram.

Question illustration
A
non-coplanar.
B
parallel.
C
perpendicular.
D
skew.
9

Consider the diagram.

Question illustration
A
RX
B
TX
C
SR
D
XS
10

Consider the diagram.

Question illustration
c
coplanar.
p
parallel.
p
perpendicular.
s
skew.
11

In the diagram, TQ is 18 units in length.

Question illustration
A
16 units
B
18 units
C
25 units
D
46 units
12

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
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

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.
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

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.
17

Consider the diagram.

Question illustration
A
coplanar.
B
parallel.
C
perpendicular.
D
skew.
18

Consider the diagram.

Question illustration
A
7
B
9
C
18
D
25
19

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.
20

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

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Parallel and Perpendicular Lines Answers — 26-27…