Mathematics, 07.07.2019 05:30, InnocentSoul

Given: and bisect each other. prove: quadrilateral abcd is a parallelogram. proof: statement reason 1. and bisect each other. given 2. ae = ec be = ed definition of bisection 3. m∠aeb = m∠ced 4. δabe ≅ δcde sas criterion 5. ∠acd ≅ ∠cab corresponding angles of congruent triangles are congruent. 6. converse of alternate interior angles theorem 7. m∠bec = m∠aed vertical angles theorem 8. δbec δdea sas criterion for congruence 9. dbc ≅ bda corresponding angles of congruent triangles are congruent. 10. converse of alternate interior angles theorem 11. quadrilateral abcd is a parallelogram. definition of a parallelogram 1 what is the reason for step 3 of this proof? a. alternate interior angles theorem b. corresponding angles in congruent triangles are congruent. c. for parallel lines cut by a transversal, corresponding angles are congruent. d. vertical angles theorem e.

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Given: and bisect each other. prove: quadrilateral abcd is a parallelogram. proof: statement reas...