Which of the following statements is false? question 2 options: 1) the product of two rational numbers is always irrational. 2) the sum of a rational number and an irrational number is always irrational. 3) the product of a nonzero rational number and an irrational number is always irrational. 4) the product of two irrational numbers is either rational or irrational.

Given: lines a and b are parallel and line c is a transversal. prove: 2 is supplementary to 8 what is the missing reason in the proof? statement reason 1. a || b, is a transv 1. given 2. ∠6 ≅ ∠2 2. ? 3. m∠6 = m∠2 3. def. of congruent 4. ∠6 is supp. to ∠8 4. def. of linear pair 5. ∠2 is supp. to ∠8 5. congruent supplements theorem corresponding angles theorem alternate interior angles theorem vertical angles theorem alternate exterior angles theorem