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8. Is line L parallel to line M? Explain. Yes, alternate interior angles are congruent. No; alternate interior angles are not congruent. No; corresponding angles are not congruent. Yes; corresponding angles are congruent.

Language and Culture
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Oooo good question. Here, let me copy your drawing, and show you: |dw:1360113933387:dw| You see those two angles that I circled? If line L were parallel to line M, then those two angles would be EQUAL, because they are CORRESPONDING angles. But they're not equal, you see. One of them is 124, and the other is 118. That's how we know that L is not parallel to M.
I realize that you're new to openstudy. This is the Language & Culture section. If you have another math question, you can try posting it the Mathematics section, where you'll get answers much sooner, and in more detail.

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Other answers:

So the answer would be "No; corresponding angles are not congruent."?
Yes that's right.
Thank you! Could you help me with this problem, too? Please?
12. Write a sequence of transformations that maps triangle ABC onto triangle A''B''C''.
It's been a few years since I've done this kind of problem. I'm sorry, I wish I could help. Try posting it in the math section. It's got thousands of members. You'll more likely find help there.

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