Question

HELP PLEASE!

Carmen is designing an intersection of the rail line and four streets. She wants to know which streets are parallel

Which streets are parallel? Check all that apply.
c || d
c || e
c || f
d || e
d || f
e || f

CHECK ALL THAT APPLY ITS NOT ONE ANSWER

Answer 1

Option C. and D. are correct

Explanation:

c//f

d//e

good luck:)

Answer 2

d║e, c║f

Explanation:

The acute angle of intersection of e with t is ...

180° - 112° = 68°

This angle is the same as the acute angle at d, so d and e are parallel.

The acute angle of intersection of c with t is ...

180° -114° = 66°

This angle is the same as the acute angle at f, so c and f are parallel.

d║e, c║f

_____

Note that the acute angles at the intersections with t are all "corresponding". That is why their congruence means the associated lines are parallel.