Download Chapter 5

3-1 Pairs of Lines and Angles
Geometry
Name ________________________
Date __________
Fill in the blanks. Refer to your book on page 147.
1. Two lines are __________________ _________ if they do not _____________
and are ______________.
2. What is the symbol for parallel? _________________
3. Two lines are ______________ ____________ if they do not
__________________ and are ________ _________________.
4. What is the symbol for skew? _____________________.
5. Refer to the diagram below. Name a pair of parallel lines and skew lines.
m
l
y
Q
6. On the 3-D diagram, identify a pair of parallel lines and skew lines .
R
a. Parallel ________________________
P
b. Skew ________________________
S
M
Q
N
7. On the same diagram for #6, name a pair of planes that do not intersect:
_________________________________
a. These planes are _____________________ because they do not intersect.
8. How many lines can be drawn through a single point? ______________
9. Postulate 13 – Parallel Postulate
a. Draw a line through point P parallel to line L.
b. How do you know the lines are parallel by looking at the diagram?
P
l

10. Postulate 14 – Perpendicular Postulate
a. Draw a line through point P perpendicular to line L.
b. How do you know the lines are perpendicular by looking at the diagram?
P
l

11. A __________________ is a line that intersects two or more coplanar lines in
different points.
a. Why can’t they intersect in the same point? A sketch would help.
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Use this diagram for questions 12-18.
m
l
3
4
6
8
2
1
5
7
n
12. On the diagram above, what is the transversal? _____________________
13. Draw an arrow to the space between lines l and n. This is called the INTERIOR of
the two lines. Write the word “interior” next to your arrow.
a. Name two interior angles _____________________
14. Draw an arrow(s) to the space you think would be the EXTERIOR of the two
lines. Write the words “exterior” next to your arrow(s).
a. Name two exterior angles ______________________
15. Two angles are _______________________ ___________ if they have
corresponding positions.
a. Name a pair of these angles __________________________
16. Two angles are _________________ ________________ __________ if they lie
between the two lines (interior) and on ________________ ____________ of the
transversal.
a. Name a pair of these angles __________________________
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17. Two angles are _________________ ________________ __________ if they lie
________________ (exterior) the two lines and on opposite sides of the
________________.
a.
Name a pair of these angles __________________________
18. Two angles are _______________________ ______________ __________ if
they lie ________________ the two lines and on the ______________
____________ of the transversal.
a. Name a pair of these angles __________________________
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