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What is the reason for statement 3 in this proof? definition of angle bisector Alternate Interior Angles Theorem Corresponding Angles Theorem Corresponding angles of congruent triangles are congruent. Done Given: Δ ABC is an isosceles triangle where AB = BC (view diagram). Prove: m∠BAC=m∠BCA Statement Reason 1. Let ΔABC be an isosceles triangle where AB = BC. given 2. Create point D on side AC¯¯¯¯¯ so that BD¯¯¯¯¯ bisects ∠ABC as shown. constructing an angle bisector 3. m∠ABD=m∠CBD 4. BD = BD Reflexive Property of Equality 5. ΔABD≅ΔCBD

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