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Geometry 9 Online
OpenStudy (anonymous):

Transversal t cuts parallel lines r and s. Which angles must be congruent to ∠2? a. ∠3, ∠6, and ∠7 b. ∠7 only c. ∠7 and ∠6 d. ∠3, ∠5, and ∠6

OpenStudy (anonymous):

image?

OpenStudy (anonymous):

Okay, think of the concepts of alternate exterior angles, vertical angles, linear pairs, corresponding angles, etc.

OpenStudy (anonymous):

okay

OpenStudy (anonymous):

With that knowledge, what do you think the answer is?

OpenStudy (anonymous):

c?

OpenStudy (anonymous):

That is somewhat correct, but what's another vertical angle of angle 2?

OpenStudy (anonymous):

5?

OpenStudy (anonymous):

Angle 2 and angle 5 form a linear pair. What are the two vertical angles of angle 2?

OpenStudy (anonymous):

I'm not sure

OpenStudy (anonymous):

You understand the concepts of vertical angles, correct?

OpenStudy (anonymous):

yes

OpenStudy (anonymous):

Okay, so what is directly diagonal from angle 2 on the top?

OpenStudy (anonymous):

3

OpenStudy (anonymous):

Correct! Now what's the other vertical angle of angle 2? I'll give you a hint, it's towards the bottom.

OpenStudy (anonymous):

6/7

OpenStudy (anonymous):

Angle 6 and angle 2 are corresponding angles; they are still congruent, just not vertical angles. 7 is a vertical angle, so good job! ^^ Now, what do you think the answer is now?

OpenStudy (anonymous):

A

OpenStudy (anonymous):

Correct! :D

OpenStudy (anonymous):

Yay c: Thanks for your help

OpenStudy (anonymous):

Does that all make sense, though? c;

OpenStudy (anonymous):

Yes c:

OpenStudy (anonymous):

Awesome ^^

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