F p, q, and r are rational numbers, which of the following equations is/are true?

I) p × (q + r) = (p × q) + (p × r)
II) p × (q - r) = (p × q) - (p × r)
III) p × (q × r) = (p × q) × (p × r)
IV) p + (q × r) = (p + q) × (p + r)

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