Todd has created the following diagram to prove the Pythagorean theorem. He drew right
AABC with leg lengths a and b and hypotenuse length c. Then he drew altitude CZ to the
hypotenuse. He determines that a = and Then he determines that cz =
cy = 62. What is the next step in proving the theorem?
a’ and

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