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What is the reason for statement 5 in this proof? ASA SSS AAS SAS Done Given: ΔABC, where AB = BC (view diagram) Prove: m∠BAC=m∠BCA Statement Reason 1. Let ΔABC be an isosceles triangle with AB = BC. given 2. Create point D on side AC¯¯¯¯¯ so BD¯¯¯¯¯ 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.

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