Question

Which lines are parallel if m4 = m5? Justify your answer.

Answer 1

http://assets.openstudy.com/updates/attachments/50a3c1cbe4b01edaad2a5134-anelika-1352909281548-idk.gif

Answer 2

WILL GIVE MEDAL

Answer 3

r and s because of AI (alternate interior angles)

Answer 4

l is the transversal.

Answer 5

what is the transversal??

Answer 6

The line that everything happens on. It's the one that passes through both parallel lines and has the angles you mentioned above on it.

Answer 7

ok. so r and s are parallel because it has alternate interior angles???

Answer 8

angles 4 and 5 are independent of line "m"
so line "m" is not necessary for 4 and 5 to be equal
lines "r" and "s" are integral parts of those angles

Answer 9

you can think of it this way, if you were to erase line "m", 4 and 5 will still be equal and exist without it

Answer 10

ok. so... i need to able to put it into sentences explaining the answer

Answer 11

well... erase line "m"

check the remaining lines
are they needed for angles 4 and 5 to exist?
of the remaining lines and NEEDED ones, which ones HAVE TO BE parallel for 4 and 5 to stay equal?

Answer 12

and you'll see which ones are necessary to be parallel for that to happen