Prove the following: Given: AC1 BD,D is the midpoint of AC Prove: AABD = ACBD A

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter1: Vectors
Section1.2: Length And Angle: The Dot Product
Problem 6AEXP
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Prove the following

Prove the following:
Given: AC I BD,D is the midpoint of AC
Prove: AABD= ACBD
C
A
B
Statement
Reason
Given
DB = DB
ZADB = ZCDB
1. ACIBD
1.
D is the midpoint of AC
O Definition of Midpoint
Definition of Perpendicular Lines
Definition of Bisector
2. ZADB & ZCDB are right
2.
angles
3.
3. All right angles are congruent
SSS
HL
AAS
SAS
4. AD=DC
4.
5.
5.
Reflexive Property
6. AABD = ACBD
6.
Transcribed Image Text:Prove the following: Given: AC I BD,D is the midpoint of AC Prove: AABD= ACBD C A B Statement Reason Given DB = DB ZADB = ZCDB 1. ACIBD 1. D is the midpoint of AC O Definition of Midpoint Definition of Perpendicular Lines Definition of Bisector 2. ZADB & ZCDB are right 2. angles 3. 3. All right angles are congruent SSS HL AAS SAS 4. AD=DC 4. 5. 5. Reflexive Property 6. AABD = ACBD 6.
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