Geo_Book_Answers
Geo_Book_Answers
Geo_Book_Answers
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1. 6<br />
2. 90°; 18°<br />
3. 45°<br />
4. See flowchart below.<br />
5. See flowchart below.<br />
6. 1<br />
Isosceles ABC<br />
with AC BC<br />
and CD bisects<br />
C<br />
Given<br />
3<br />
AD BD<br />
CPCTC<br />
4. (Lesson 4.8)<br />
LESSON 4.8<br />
2<br />
ADC BDC<br />
Conjecture A<br />
(Exercise 4)<br />
4<br />
CD is a median<br />
Def. of median<br />
<br />
1<br />
CD is the bisector of C<br />
2 ? 1 2<br />
Given Definition of<br />
angle bisector<br />
5. (Lesson 4.8)<br />
1 ABC is isosceles with<br />
AC BC, and CD is<br />
the bisector of C<br />
Given<br />
3<br />
4<br />
ABC is isosceles<br />
with AC BC<br />
Given<br />
CD CD<br />
Same segment<br />
2 ADC BDC<br />
Conjecture A<br />
3<br />
1 and 2 form<br />
a linear pair<br />
Definition of<br />
linear pair<br />
7.<br />
1<br />
AC BC<br />
2<br />
CD CD<br />
3<br />
D is<br />
Given Same segment<br />
midpoint<br />
of AB<br />
Given<br />
5<br />
ADC BDC<br />
4<br />
AD BD<br />
SSS<br />
Def. of midpoint<br />
6 ACD DCB<br />
CPCTC<br />
8<br />
CD is altitude<br />
of ABC<br />
Conjecture B<br />
(Exercise 5)<br />
7 CD is angle<br />
bisector of ACB<br />
Def. of angle bisector<br />
9<br />
CD AB<br />
Def. of altitude<br />
8. Yes. First show that the three exterior triangles<br />
are congruent by SAS.<br />
4 1 2<br />
?<br />
<br />
CPCTC<br />
5 ADC BDC<br />
?<br />
<br />
5 1 and 2 are<br />
supplementary<br />
Linear Pair<br />
Conjecture<br />
SAS<br />
7<br />
Definition of<br />
perpendicular<br />
CD is an altitude<br />
6 1 and 2 are<br />
right angles<br />
8<br />
Congruent<br />
supplementary<br />
angles are 90<br />
CD AB <br />
?<br />
<br />
?<br />
<br />
Definition of<br />
altitude<br />
ANSWERS TO EXERCISES 57<br />
<strong>Answers</strong> to Exercises
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