Download ANSWERS FOR 4.2 2. Third Angle Theorems by the Reflexive

ANSWERS
FOR
4.2
For use with pages 205–210
4.2 Guided Practice
2. Third Angle Theorems
26. 32
4. 105
30. AB, BC and AC are corre-
6. 30
8. MN
4.2 Practice and Applications
10. T
12. CAB
28. 25
sponding sides of congruent
triangles and are congruent.
ABC is equilateral by
definition.
14. T; 66
32. mDBC mDCB 30
16. ABD CBD; BD BD
34. Transitive Property of
by the Reflexive Property of
Congruence so the triangles
are congruent by the
definition of congruence.
18. ABCD PSQR; definition of
congruence.
20. EFJK HJFG; in a plane, if
Geometry Answer Transparencies
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24. x 7; y 8
two lines are perpendicular
to the same line then the
lines are parallel to each
other, so EG KH, so
EFJ HJF and
KJF GFJ by the
Alternate Interior Angles
Theorem. Then the
trapezoids are congruent by
the definition of congruence.
22. G K, F J,
Congruent Triangles
36. Yes; when the paper is
folded, EB and AB coincide
with EF as do EF and AF.
38. Sample answer: BE BE
by the Reflexive Property
of Congruence;
GEB FEB because
they are both right angles
since BD FG;
FBE GBE by the
definition of angle bisector;
F G by the Third
Angles Theorem; EF EG
by definition of segment
bisector; since it is given that
BF BG, FEB GEB
by definition of congruence.
JHK FHG; FG JK,
GH KH, FH JH.
55
ANSWERS
FOR
4.2 (CONT.)
For use with pages 205–210
40.
Quiz 1
D
G
2. acute isosceles
C
45°
67.5°
4. 7
67.5°
mE 55; mF 77;
mEDF 48;
mCDF 132
E
45°
67.5°
F
22.5°
67.5°
A
6. 107
B
22.5°
Geometry Answer Transparencies
Copyright © McDougal Littell Inc.
4.2 Mixed Review
42. 481
44. 34
46. 170
48.
50.
3, 112
52.
1
1
2 , 1
2
2
2, 5
1
2
54. 17
56.
3 3
; ; the lines are parallel.
4 4
56