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