Elementary Geometry for College Students
6th Edition
ISBN:9781285195698
Author:Daniel C. Alexander, Geralyn M. Koeberlein
Publisher:Daniel C. Alexander, Geralyn M. Koeberlein
Chapter2: Parallel Lines
Section2.4: The Angles Of A Triangle
Problem 50E
Related questions
Question
![Homework
1.
In AABC pictured, AD is the angle
bisector of LA. If BD = 5, CD = 6 and
AB 8, find AC.
B.
D.
6
8
The converse of the Angle Bisector
Theorem states:
2.
4p
In AABC, if AE meets BC at D such
that BD:CD = BA:CA, then AD is the
angle bisector of LA.
Note: AB|| CE
Reasons
Statements
BD
BA
1.
1.
Given
CD CA
2.
Alt. interior Z's are =
2.
41L2
23 L4
3.
3.
4.
4.
ACDE I ABDA
BD BA
5.
5.
CD CE
CE CA
6.
Substitution (given & step 5)
6.
7.
AACE is isosceles
7.
8.
21= 45
8.
9.
42 L5
9.
Substitution
10.
AD is the angle bisector of LA
10.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F15c3be72-98d3-414f-aa76-9dc5a3a87170%2F8c950079-4d8b-4658-9a89-87dc73410c76%2Fi187zxe_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Homework
1.
In AABC pictured, AD is the angle
bisector of LA. If BD = 5, CD = 6 and
AB 8, find AC.
B.
D.
6
8
The converse of the Angle Bisector
Theorem states:
2.
4p
In AABC, if AE meets BC at D such
that BD:CD = BA:CA, then AD is the
angle bisector of LA.
Note: AB|| CE
Reasons
Statements
BD
BA
1.
1.
Given
CD CA
2.
Alt. interior Z's are =
2.
41L2
23 L4
3.
3.
4.
4.
ACDE I ABDA
BD BA
5.
5.
CD CE
CE CA
6.
Substitution (given & step 5)
6.
7.
AACE is isosceles
7.
8.
21= 45
8.
9.
42 L5
9.
Substitution
10.
AD is the angle bisector of LA
10.
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