AnswersCA-Common Core Geometry DVHS Sem. 1Parallel and Perpendicular Lines

Parallel and Perpendicular Lines Answers

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1
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Consider the diagram.

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A
non-coplanar.
B
parallel.
C
perpendicular.
D
skew.
2
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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
3

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.
4

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
5

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.
6

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.
7

Consider the diagram.

Question illustration
A
SR
B
TR
C
ST
D
QS
8

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.
9

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.
10

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

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