geometry help????? will medal nd fan!!!!!!!!!!

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- anonymous

geometry help????? will medal nd fan!!!!!!!!!!

- katieb

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- anonymous

PQ and RS are two lines that intersect at point T, as shown below:

##### 1 Attachment

- anonymous

Which fact is used to prove that angle PTS is always equal to angle RTQ?
Sum of the measures of angles RTQ and QTS is 180°.
Lines PQ and RS intersect at an angle greater than a right angle.
Line segments PQ and RS do not have a fixed length.
Sum of the measures of angles PTR and QTS is 180°.

- anonymous

@e.mccormick can you help me?

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- e.mccormick

Well, which of those is always true and has to do with angles? For example, the " Line segments PQ and RS do not have a fixed length." is ALWAYS false because if it is a segment it has a fixed length and even if you talk about lines their infitinte length has nothing to do with angles.

- anonymous

ok

- e.mccormick

OK? Umm... so which of those is always true and has to do with angles? I already eliminated one. You can eliminate two others.

- anonymous

which one did you eliminate?

- e.mccormick

For example, the "Line segments PQ and RS do not have a fixed length." is ALWAYS false because if it is a segment it has a fixed length and even if you talk about lines their infitinte length has nothing to do with angles.
The one I said is always false.

- anonymous

could I eliminate Sum of the measures of angles PTR and QTS is 180°.?

- e.mccormick

Yes. Those would only be 180 at right angles! So that is certainly false.

- e.mccormick

That leaves only two. One of them is false, the other is the answer.

- anonymous

how about Lines PQ and RS intersect at an angle greater than a right angle?

- e.mccormick

Yah, that is false and true... it is nonsense. They also intersect at an angle LESS than 90! Just on the other side of the line.
So by killing those three you are only left with one:
Sum of the measures of angles RTQ and QTS is 180°.

- anonymous

ok thank you so much (:

- anonymous

can you help me with another one?

- e.mccormick

Sometimes multiple choice is about what is right... but with this one is was about what was wrong. =)

- anonymous

ok

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