Select from the drop-down menus to correctly identify whether the given operation is closed or not closed with respect to each set of numbers. Real numbers are
closed, not closed
under multiplication.

Irrational numbers are
closed, not closed
under division.

Integers are
closed, not closed
under subtraction.

Positive rational numbers are
closed, not closed
under addition.

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