Given: ABC is an isosceles triangle where AB = BC. Prove: mBAC = mBCA Proof: Statement Reason 1. Let ABC be an isosceles triangle where AB = BC. given 2. Create point D on so that bisects ABC as shown. constructing an angle bisector 3. mABD = mDBC definition of angle bisector 4. BD = BD 5. ABD CBD SAS 6. mBAC = mBCA Corresponding angles of congruent triangles are equal. Question 6 of 28 What is the reason for statement 4 in this proof?

Question

Given:   ABC is an isosceles triangle where AB = BC. Prove: mBAC = mBCA    Proof: Statement	Reason 1. Let   ABC be an isosceles triangle where AB = BC.	given 2. Create point D on   so that   bisects ABC as shown.	constructing an angle bisector 3. mABD = mDBC	definition of angle bisector 4. BD = BD	  5.   ABD     CBD	SAS 6. mBAC = mBCA	Corresponding angles of congruent triangles are equal. Question 6 of 28 What is the reason for statement 4 in this proof?