Given: B is the midpoint of AC Prove: AB- BC

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
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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