Question

Hey guys I need a little help.

Given the diagram, determine whether segment MN is parallel to PQ

i'll draw the picture in the comments

Answer 1

Here it is

Answer 2

Try to prove that triangle RQP ~ triangle RMN.

Answer 3

\[\frac{ RP }{ RM } = \frac{ RQ }{ RN }\] if they come out the same they are similar.

Answer 4

@theload

SAS Triangle Similarity Theorem is what we are using to determine if the two triangles are similar. If they are, then corresponding angles are congruent which would yield parallel segments.

RP/RM does not equal RQ/RN but

RQ/RM does equal RP/RN.

Answer 5

Sorry I wasn't thinking right haha, I was thinking if one of those 4 was a variable thats what you would use to find that variable, haven't been in geometry for a while.