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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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

Geometry
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At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

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