Download answers for 3.4

ANSWERS
FOR
3.4
For use with pages 153–156
3.4 Guided Practice
2. If two parallel lines are cut
by a transversal, then the
alternate interior angles are
congruent; yes
6. yes; alternate interior angles
converse
8. yes; consecutive interior
angles converse
3.4 Practice and Applications
10. yes; alternate interior angles
converse
12. yes; corresponding angles
converse
14. yes; alternate exterior angles
converse
18. 20
20. yes; consecutive interior
Geometry Answer Transparencies
Copyright © McDougal Littell Inc.
mEAB 115 and
mCBA 66, so the
consecutive interior angles
are not supplementary.
28. Statement: 1 and 3 are
4. no
16. 60
26. none; Sample answer:
angles converse
22. no
supplementary; 2 3.
Reasons: Given; corresponding angles converse
30. 1. 4 5 (Given); 2.
4 6 (Vertical angles
theorem); 3. 5 6
(Transitive property of angle
congruence); 4. g h
(Corresponding angles
converse)
↔ ↔
32. AB CD; B BEA,
BEA CED by the
Vertical angles theorem, and
CED C. So B C
by the transitive property
of angle congruence, and
↔ ↔
AB CD by the alternate
interior angles converse.
24. yes; angle addition postulate
and consecutive interior
angles converse
45
ANSWERS
FOR
3.4 (CONT.)
For use with pages 153–156
34. m7 m8 180
Addition property of equality
3.4 Mixed Review
40.
jk
Consecutive interior angles
converse
36. Sample answer:
P
1
42.
2
3
4
Geometry Answer Transparencies
Copyright © McDougal Littell Inc.
Q
Conjecture: If two parallel
lines are cut by a transversal,
then the bisectors of the
alternate interior angles are
parallel. Plan for proof: Show
that m1 m2,
m3 m4, and
m1 m2 m3 m4. Then show
that 2m2 2m3 so
m2 m3. Finally show
that the angle bisectors are
parallel.
38. C
44. 4; AB AD, AD DC
(given), so AB DC by the
Transitive property of
segment congruence. Then
9x 11 6x 1 by substitution, 3x 12 by the
addition property of equality
(add 6x to each side, add
11 to each side), and x 4
by the multiplication
property of equality.
46. 6
48. 7
46