Write an inequality relating line segments NM & NL. A.NM NL D.NM ≥ NL

Question

Write an inequality relating line segments NM & NL.
A.NM < NL
B.NM ≤ NL
C.NM > NL
D.NM ≥ NL

anonymous · Answer

|dw:1379526910289:dw|

anonymous · Answer

Help?

anonymous · Answer

@Figureskater120  @stormgirl47  @rosedewittbukater  can anyone help me?

anonymous · Answer

.

anonymous · Answer

can anyone explain how to do this?

anonymous · Answer

.

rosedewittbukater · Answer

Ok I don't remember the technical terms because I haven't done geometry for over 2 years, but it's NM>NL I'll try to explain.

anonymous · Answer

ok (:

rosedewittbukater · Answer

So since KL = KM, the two triangles have those sides lengths in common. They also have KN in common since that line is part of both triangles. So now both triangles have 2 sides with equal lengths. 

But the angles are 56 and 83, so NM and NL can't be equal. If all sides were equal, they would all have the same angles.

Since the angle is 83, that means point M is farther from point N because of the angle of the line. Does that make sense?

anonymous · Answer

Yes it does! Nice breakdown. :)

anonymous · Answer

Thanks for all the help! (-:|dw:1379528294866:dw|