Complete the missing parts of the paragraph proof. Given: 1 || m; _1 * 23
Prove: p || a
р
9
We know that angle 1 is congruent to angle 3 and that
line 2 is parallel to line m because
. We see that
is congruent to
by the alternate
interior angles theorem. Therefore, angle 1 is
congruent to angle 2 by the transitive property. So, we
can conclude that lines p and q are parallel by the
1
2.
m
3

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