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So I'm doing a geometry project and I'm supposed to make a city of angles. I need to have 2 of each: alternate interior, exterior, corresponding, etc.... But most importantly I need linear pairs and supplementary angles. The rules are that i must have three parallel lines and two transversals, one being a negative slope and the other positive. I still don't get how I can do this. Thanks. 

 Sep 25, 2016
 #1
avatar+1090 
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Which don't you get how to do?

 

The only one which seems like it may be troublesome is the transversal. Are you sure it's not perpendicular?

 

If it's transversal lines, then you can only really do it in 3D, since transversal lines are by definition on different planes.

 

If you're really unsure, you should ask your teacher what she wants on the specific parts you're confused about.

 Sep 25, 2016
 #3
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Disregard this; I was thinking of skew lines.

 

Listen to geno3141, below:

 

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Mathematician  Sep 26, 2016
 #2
avatar+23246 
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Start with three horizontal parallel lines (streets).

 

Cross these lines (streets) with two lines (streets), one going from the top-left down to the lower-right (this has a negative slope), the other going from the lower-left up to the upper-right (this has a positive slope). There will be many angles, alt. int., alt. ext., etc. and linear pairs and supplementary angles.

 Sep 25, 2016

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