Given that Line JK is parallel to MN, show that Triangle JKL = LMN. Justify reasoning.

Question

anonymous · Answer

|dw:1369329497006:dw|

e.mccormick · Answer

And they are just goving parallel, not congruent?

e.mccormick · Answer

If all you have is $JK\| MN$ then this is also possible:
|dw:1369330046140:dw|So I am wondering if something else is shown or stated.

anonymous · Answer

This is exactly the information I was given. JK is parallel to MN, show the JKL is congruent to LMN and justify the reasoning.

e.mccormick · Answer

Order is also important.  JKL is not congruent to LMN.  I can show that any JKL is similar to any NML, but whout at least a congruency mark in the drawing, it is hard to do more.

e.mccormick · Answer

JKL=LMN means $\measuredangle J=\measuredangle L_{KJ}$, $\measuredangle K=\measuredangle M$, $\measuredangle L_{MN}=\measuredangle N$, $\overline{JK}=\overline{LM}$, $\overline{JL}=\overline{LN}$, and $\overline{KL}=\overline{MN}$.  With just parallel and nothing else, you can see my drawing contradicts this.  If there was a | or $\|$ through at least one set of lines, it would be a completely different issue.

e.mccormick · Answer

Argh...  got my angle L measures backwards.  I added the subscipts last to clarify and reverse them.  Sorry about that.

e.mccormick · Answer

|dw:1369331091159:dw|

anonymous · Answer

No it doesn't

e.mccormick · Answer

Then they are saying for any $\triangle JKL,$ and $\triangle LMN$ where $JK\| MN$, JKL=LMN, which I was able to contradict with my drawing. There is something wrong with what is given.