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hhopke
 one year ago
Prove that QR  US
hhopke
 one year ago
Prove that QR  US

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mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.2What do you need to show to prove lines are parallel?

hhopke
 one year ago
Best ResponseYou've already chosen the best response.1That's what I have so far

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.2This is what I mean by the question above. Here are lines m and n, and transversal t. dw:1434568617945:dw

hhopke
 one year ago
Best ResponseYou've already chosen the best response.1But the picture doesn't look like that.

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.2Can you name a pair of angles in the figure below, that if you know they are congruent, then the lines m and n must be parallel? dw:1434568719599:dw

hhopke
 one year ago
Best ResponseYou've already chosen the best response.1There are a bunch (alt. ext, alt. int, corresponding, etc.) but I need to prove it with the given picture.dw:1434568849868:dw

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.2Ok. Great answer. I realize you are answering a different question with a different figure, but I needed to see if you knew how to prove lines parallel. Now I see that you do know.

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.2Let's look at your figure, and reason out the steps in this proof.

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.2dw:1434569034493:dw

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.2You need to prove lines QR and US parallel. If you could show that angles 2 and 6 are congruent, would that help?

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.2Correct bec angles 2 and 6 are corresponding angles, and if they are congruent, the lines are parallel.

hhopke
 one year ago
Best ResponseYou've already chosen the best response.11 and 2 are alternate interior angles, so they are congruent (the lines are parallel) and 1 and 6 are congruent (given) so by transitive property 2 is congruent to 6 (that's how I did it)

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.2I marked the parallel lines and the given congruent angles. dw:1434569202980:dw

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.2We know angles 1 and 6 are congruent. We need to show that angles 2 and 6 are congruent.

hhopke
 one year ago
Best ResponseYou've already chosen the best response.11 and 2 are alternate interior angles, so they are congruent (the lines are parallel) and 1 and 6 are congruent (given) so by transitive property 2 is congruent to 6

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.2Exactly. That is it.

hhopke
 one year ago
Best ResponseYou've already chosen the best response.1then 6 and 4 are congruent (vertical angles), so 4 is congruent to 1 and 2 (transitive property)

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.2No. There is no need for 6 and 4

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.2Since you can prove the lines parallel with corresponding congruent angles 2 and 6, there is no need to take the extra steps of showing that angles 4 and 6 are congruent by vertical angles and then the lines are parallel by angles 2 and 4 being congruen alt int angles.

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.2This is simpler proof than you originally thought.

hhopke
 one year ago
Best ResponseYou've already chosen the best response.1we can prove that they're parallel with 2 and 6?

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.2I'll go through your steps and we'll see what needs to be there.

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.2yes. 2 and 6 are corresponding angles. if you show that when two lines are cut by a transversal, corresp angles are congruent, then the lines are parallel.

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.2I'd keep statement 1, drop statements 2, 3. Keep statement 4.

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.2Drop statement 5.

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.2keep statement 6 and 7

hhopke
 one year ago
Best ResponseYou've already chosen the best response.1then drop 8 and add in the part about corresponding angles?

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.2drop 8 and 9. where 8 was, state that the lines are parallel bec of what I wrote above with corresp angles.

hhopke
 one year ago
Best ResponseYou've already chosen the best response.1Okay. Thank you so much!
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