Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter1: Line And Angle Relationships
Section1.4: Relationships: Perpendicular Lines
Problem 24E: The Segment-Addition Postulate can be generalized as follows: The length of a line segment equals...
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![9. Given: B is the midpoint of AC
Prove: AB BC
Statements
Reasons
Bis the midpoint of AC
AB BC
AB-BC
Given
Clnsoht
Definition of Congruent Segments
E Segment Addition Postulate
PDefinition of Midpoint
1Segment Congruence Postulate
10. Given: AD is the bisector of BAC
Prove: mzBAD-mECAD
Statements
Reasons
AD is the bisector of
2RAD CAD
M&BAD MLCAD
Given
4Definition of Congruent Angles
Angle Addition Postulate
Foefinition of Angle Bisector
Angle Congruence Postulate
We](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3311e94a-fb23-420f-830e-37194a45097a%2F1c06d790-ac73-466a-b20b-10e4e74339c6%2Fjtd3kxt_processed.jpeg&w=3840&q=75)
Transcribed Image Text:9. Given: B is the midpoint of AC
Prove: AB BC
Statements
Reasons
Bis the midpoint of AC
AB BC
AB-BC
Given
Clnsoht
Definition of Congruent Segments
E Segment Addition Postulate
PDefinition of Midpoint
1Segment Congruence Postulate
10. Given: AD is the bisector of BAC
Prove: mzBAD-mECAD
Statements
Reasons
AD is the bisector of
2RAD CAD
M&BAD MLCAD
Given
4Definition of Congruent Angles
Angle Addition Postulate
Foefinition of Angle Bisector
Angle Congruence Postulate
We
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