Given: ΔABC, where AB = BC
Prove: m∠BAC = m∠BCA

Statement

Reason

1. Let ΔABC be an isosceles triangle with
AB = BC.

given

2. Create point D on side so bisects
∠ABC.

constructing an angle bisector

3. m∠ABD = m∠CBD

definition of angle bisector

4. BD = BD

Reflexive Property of Equality

5. ΔABD ≅ ΔCBD

6. m∠BAC = m∠BCA

Corresponding angles of congruent triangles have equal measures.

What is the reason for statement 5 in this proof?

Question

Given: ΔABC, where AB = BC 
Prove: m∠BAC = m∠BCA

Statement

Reason

1. Let ΔABC be an isosceles triangle with
 AB = BC.

given

2. Create point D on side so bisects
 ∠ABC.

constructing an angle bisector

3. m∠ABD = m∠CBD

definition of angle bisector

4. BD = BD

Reflexive Property of Equality

5. ΔABD ≅ ΔCBD

6. m∠BAC = m∠BCA

Corresponding angles of congruent triangles have equal measures.

What is the reason for statement 5 in this proof?

jhonyy9 · Answer

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MAGABACK · Answer

@jhonyy9 wrote:

Created with RaphaëlABCDReply Using Drawing

I think he's looking for an equation. idrk tho