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Mathematics 15 Online
OpenStudy (anonymous):

Ok, I'm having trouble writing a proof for corresponding angles Theorem.

OpenStudy (anonymous):

I know that it's widely known as a axiom/postulate, but it's a theorem in my lesson and I need help with creating a theorem for it.

OpenStudy (anonymous):

As in statements with reasons next to them.

OpenStudy (solomonzelman):

What exactly do you need, should I demonstrate how to prove the corresponding angles using my own example?

OpenStudy (anonymous):

That would be a good basis for mine, yes.

OpenStudy (anonymous):

More specifically, corresponding angles in transversals.

OpenStudy (anonymous):

|dw:1383272614564:dw|

OpenStudy (anonymous):

You're trying to prove that A = B, right?

OpenStudy (anonymous):

Yes, a transversal.

OpenStudy (solomonzelman):

make your reason and statement chart....

OpenStudy (anonymous):

|dw:1383272699774:dw| You know that A + C = 180 because of some rule I forgot.

OpenStudy (solomonzelman):

Supplementary angles.

OpenStudy (anonymous):

Sorry, Solomon, do you want me to shut up so you can do yours

OpenStudy (anonymous):

Would it be that simple to use just the supplementary and angle addition postulates?

OpenStudy (anonymous):

That's what I was thinking, if you can get away with it. :P

OpenStudy (anonymous):

Well I already completed the vertical angle theorem proof, and it was a bit long

OpenStudy (anonymous):

I hope it is that simple

OpenStudy (solomonzelman):

Is this geometry or College?

OpenStudy (anonymous):

I've got another way if it won't work.

OpenStudy (solomonzelman):

b/c for college it is in essay form, and in geometry it is in a chart form.

OpenStudy (anonymous):

In geometry. Chart form, not paragraph form.

OpenStudy (anonymous):

Simply put, I'm trying to prove that two angles that correspond from different sides of the transversal are congruent.

OpenStudy (solomonzelman):

As SACAPUNTAS drew, you have |dw:1383359481817:dw|

OpenStudy (solomonzelman):

I really don't know how to "prove" that they are equal, I now they 100% do though.

OpenStudy (solomonzelman):

@SACAPUNTAS

OpenStudy (anonymous):

Yes, A and C are corresponding angles

OpenStudy (anonymous):

I don't either, that's why I posted here

OpenStudy (anonymous):

It's a postulate because you really can't prove it without relying on other theorems that rely on it. If that's ok, though, we can do it.

OpenStudy (anonymous):

Yes, the assignment says I may use other theorems to prove it.

OpenStudy (anonymous):

|dw:1383273333457:dw| Ok, so you know that A + C = 180 because they are supplementary angles. You also know that B + C = 180 because they are interior angles of parallel lines on the same side of a transversal.

OpenStudy (anonymous):

Yes

OpenStudy (anonymous):

If 180 - B = C and 180 - A = C then 180 - B = 180 - A so A = B

OpenStudy (anonymous):

Ok, I see what you mean

OpenStudy (anonymous):

And I can turn that into statement + reason form from that. Thank you!

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