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ANSWERS
FOR
2.6
For use with pages 112–116
2.6 Guided Practice
2. Yes; the angle formed by the
blades and the angle formed
by the handles are an example of vertical angles, which
are congruent.
4. no
6. no
8. yes
2.6 Practice and Applications
10. Given
mA mB
Symmetric property of
equality
Definition of congruent
angles
12. 28
14. 34
16. 59
Geometry Answer Transparencies
Copyright © McDougal Littell Inc.
18. m1 m2 90
m3 m4 90
20. XYZ VYW,
XYV ZYW
22. ABC DBF,
ABD CBF
24. 3 and 2 are
complementary.
m1 m2 90
Given
m3 m2 90
Definition of complementary
angles
m1 m2 m3 m2
Transitive property of
equality
m1 m3
Subtraction property of
equality
3 1
Definition of congruent
angles
Definition of congruent
angles
Substitution property of
equality
Subtraction property of
equality
1 3
36
ANSWERS
FOR
2.6 (CONT.)
For use with pages 112–116
26. 5 6
Given
5 4, 6 7
Vertical Angles Theorem
m5 m6, m5 m4,
m6 m7
Definition of congruent
angles
32. Congruent Complements
Theorem
36. C
m6 m4
Transitive property of
equality
38. 28
40. 43
42. w 3
44. y 2
m4 m7
Transitive property of
equality
Quiz 2
3y 4y 35
y 35
Geometry Answer Transparencies
Copyright © McDougal Littell Inc.
m4 90 52 38.
m3 90 52 38.
4 3 by the definition
of congruent angles.
34. B
4 7
Definition of congruent
angles
28.
30. Yes;
y 35
36z 7 10z 45
18z 21 10z 45
8z 21 45
2. x 8 27
x 19
Subtraction property of
equality
4. 2x 20 4x 12
20 2x 12
Subtraction property of
equality
32 2x
Addition property of equality
16 x
Division property of equality
8z 24
z3
37
ANSWERS
FOR
2.6 (CONT.)
For use with pages 112–116
6. 22x 4 16
4x 8 16
Distributive property
4x 24
Addition property of equality
x6
Division property of equality
8. EH GH, FG GH
Given
Geometry Answer Transparencies
Copyright © McDougal Littell Inc.
EH FG
Transitive Property of
Segment Congruence
38
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