Download Lines and Angles

Name
Class
Date
Practice
3-1
Form K
Lines and Angles
Use the diagram to name each of the following.
R
1. a plane Answers may vary. Sample (one of the following):
QRSTU, VWXYZ, QRWV, RSXW, SXYT, UTYZ, QUZV
2. a pair of parallel planes Answers may vary. Sample (one of the
following): RSWX and QUVZ; TSXY and QRWV; QRSTU and VWXYZ
* )* )* )
X
U T
V
* )
S
W
Q
Z
3. all lines that are parallel to QR VW , TS , and YX
Y
* )
4. two lines that are skew to ST Answers may vary. Sample (two of the
* ) * ) * ) * ) * )
* )
following): UZ , QV , RW , WX , ZY , and VZ
*
) * ) *
) * )
* )
5. all lines that are parallel to plane TSXY VW , QR , RW , UZ , and QV
In Exercises 6–9, describe the statement as true or false.
If false, explain.
* ) * )
D
6. AB 6 DE true
A
F
7. plane ABE 6 plane ACF False; the planes intersect.
C
8. plane ABC 6 plane DEF true
* )
E
B
* )
9. AD and BE are skew lines. False; they are parallel.
Identify all pairs of each type of angles in the diagram. Name the two
lines and the transversal that form each pair.
10. corresponding angles l8 and l5, lines g and h and
transversal k; l7 and l2, lines k and j and transversal
g; l7 and l9, lines g and h and transversal k
h
11. alternate interior angles l5 and l7, lines g and h
and transversal k; l8 and l2, lines k and j and
transversal g; l6 and l3, lines k and j and transversal i
i
g
7 6
5 43
j
8
2
1
9
k
12. same-side interior angles l5 and l4, lines k and i and transversal h; l6 and l4, lines
k and h and transversal i; l5 and l6, lines h and i and transversal k; l8 and l1, lines
k and j and transversal g; l2 and l3, lines g and i and transversal j
13. alternate exterior angles l8 and l9, lines g and h and transversal k
Prentice Hall Foundations Geometry • Teaching Resources
Copyright © by Pearson Education, Inc., or its affiliates. All Rights Reserved.
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Name
Class
Date
Practice (continued)
3-1
Form K
Lines and Angles
Decide whether each pair of angles labeled are alternate interior angles,
same-side interior angles, corresponding angles, or alternate exterior angles.
14.
15.
1
1
2
2
alternate exterior
alternate interior
16.
17.
1
1
2
2
corresponding
same-side interior
18. Error Analysis A student drew a square pyramid. She said the lines forming
the sides of the square base of the pyramid are skew to the lines forming the
triangular sides. Explain the student’s error. The lines forming the sides of the square
intersect the lines forming the triangular sides. Skew lines do not intersect.
19. Open-Ended Draw a three-dimensional figure with at least one pair of
parallel planes, two pairs of parallel lines, and three pairs of skew lines.
Check students’ work.
20. Use the words lines and transversal to explain what makes an angle an interior
angle or an exterior angle. Interior angles are between the two lines intersected
by the transversal. Exterior angles are outside the two lines intersected by the
transversal.
21. The map at the right shows the downtown
area of a city. Name two pairs of locations
that represent each type of angle.
a. alternate interior angles bank and town hall;
museum and post office
b. same-side interior angles post office and town
hall; bank and museum
Bank Museum
Library
Post Office
Town
Park
Hall
Playing High School
Fields
c. alternate exterior angles library and playing fields, museum and high school
d. corresponding angles Answers may vary. Sample (any two of the following
pairs): post office and park, bank and library, town hall and playing fields, park
and high school
Prentice Hall Foundations Geometry • Teaching Resources
Copyright © by Pearson Education, Inc., or its affiliates. All Rights Reserved.
6