Part A Given that DE is the midsegment of the scalene AABC, answer the prompts to the right Which of the following does not have to be true based on the condition that DE is the midsegment of AABC? А A A AC - AE = EC BAD AE D 2x + 1 E С 2DE = BC D AB = AD 5x - 4 B C с Part B Find the length of BC Figure not drawn to scale A 26 C B. 21 13 8

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