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Given: ΔABC is an isosceles triangle where AB = BC.
Prove: m∠BAC = m∠BCA




Proof:
Statement Reason
1. Let ΔABC be an isosceles triangle where AB = BC. given
2. Create point D on so that bisects ∠ABC as shown. constructing an angle bisector
3. m∠ABD = m∠DBC definition of angle bisector
4. BD = BD
5. ΔABD ≅ ΔCBD SAS
6. m∠BAC = m∠BCA Corresponding angles of congruent triangles are equal.
20
What is the reason for statement 4 in this proof?
A.
Transitive Property of Equality
B.
definition of midpoint
C.
definition of parallel lines
D.
Reflexive Property of Equality
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Given ΔABC is an isosceles triangle where AB BC Prove mBAC mBCA Proof Statement Reason 1 Let ΔABC be an isosceles triangle where AB BC given 2 Create point D on class=

Respuesta :

You are comparing side AB, angle ABD, and side BD in one triangle to side CB, angle CBD, and side BD in the other triangle. That is, you are comparing a Side, Angle, and Side in each triangle. The SAS postulate is the reason the triangles are congruent.

Answer:

 Transitive Property of Equality

Step-by-step explanation:

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