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ANSWERS
FOR
3.5
For use with pages 160–164
3.5 Guided Practice
2. Theorem 3.11
4. m1 m2, l1 l2; Sample
answer: If two lines are cut
by a transversal so that consecutive interior angles are
supplementary, then the lines
are parallel.
14. Sample answer:
1. Show alternate interior
angles are congruent.
2. Show alternate exterior
angles are congruent.
3. Show corresponding
angles are congruent.
4. Show consecutive interior
angles are supplementary.
6.
B
A
5. Show 2 lines are parallel
to a third line.
6. Show two lines are perpendicular to a third line.
16. Sample answer: The angles
3.5 Practice and Applications
8. Theorem 3.11
10. Alternate interior angles
Geometry Answer Transparencies
Copyright © McDougal Littell Inc.
converse
12. Alternate exterior angles
converse
with measures 55 and 35
are complementary.
Therefore, nj, and k j by
Theorem 3.12.
18. Sample answer:
x x 180 Linear Pair
2x 180
x 90
If x 90, then it has the
same measures as the right
angle. g h by Theorem
3.12.
47
ANSWERS
FOR
3.5 (CONT.)
For use with pages 160–164
30. Sample answer: Since each
20. Sample answer:
90 x x 180 Linear Pair
2x 90
x 45
32. Sample answer: The lines
If x 45, then 90 45 45.
Corresponding angles are
congruent, therefore g h.
22. h j; Corresponding angles
converse
yard line is perpendicular to
the same line (sideline), the
yard lines must be parallel.
could lie in different planes.
Counter example: lk and l
and k in Plane P. jk and j
intersects Plane P at a point
A.
j
24. none
P
A
26.
k
Geometry Answer Transparencies
Copyright © McDougal Littell Inc.
34. always
28.
36. always
48
ANSWERS
FOR
3.5 (CONT.)
For use with pages 160–164
38.
n⊥p
Given
m⊥p
Given
2 is a right .
⊥ lines form right s.
1 is a right .
⊥ lines form right s.
40.
All right s
are .
Corresponding
Angles Converse
3.5 Mixed Review
m
44. 74
P
mn
1 2
46. 85
48. 72
Q
n
50. Sample answer: If the two
angles are supplementary,
they could both be right
angles.
l
52. m2 147, m3 147,
m4 33, m5 33,
m6 147, m7 147,
m8 33
Theorem 3.12
42. 1 2; j k
Quiz 2
2. a b
4. a b, c d
Geometry Answer Transparencies
Copyright © McDougal Littell Inc.
Given
1 3
Alternate Exterior Angles
Theorem
2 3
Transitive Property
rs
Corresponding Angles
Converse
49
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