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 9 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. sas criterion for congruence
The weekly revenue for a company is r = 3p^2 + 60p + 1060, where p is the price of the company's product. what price will result in a revenue of $1200.