Question

Proving Lines ParallelAccording to the statements provided, name the lines that are parallel to each other. If there is notenough information to conclude parallel, write "not enough info" and explain why.

Answer 1

1) lines c and d are parallel ----> by corresponding angles

2) lines a and b ----> by alternate interior angles

3) lines a and b ---> by same side interior angles

4) Not enough information

5) lines c and d ---> by same side interior angles

because'

m<2=m<5 ---> by vertical angles

m<3=m<8 --> by vertical angles

and

m<2+m<3=180 ----> by same side interior angles

6) lines a and b -----> by corresponding angles

7) Not enough information

because

m<1=m<6 ----> by vertical angles

angle 1 and angle 6 always will be congruent

8) lines a and b ----> by alternate exterior angles

9) Not enough information

because

m<15 and m<16 forms a linear pair (always will be supplementary angles)

10) lines c and d -----> by corresponding angles