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Mathematics, 04.02.2021 22:40 leyslebravo2729

The Isosceles Triangle Theorem states that if two sides of a triangle are congruent, then the angles opposite the sides are congruent.
Given: AB AC
Prove: ZBA ZC
À
BD
с
Statements
Reasons
1.
2. Construct a bisector of ZA
1. Given
2. Every 2 has 1 2 bisector
3. Definition of 2 bisector
3.
4.
ADE AD
4.
5.
AABD = AACD
5
6.
6. CPCTC
Statement
#1
Statement
#3
Reason
#4
Reason
#5
Statement
#6
NA
ADEAD
SAS
congruence
AB=AC
Reflexive
property

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