Question

Abdul is making a map of his neighborhood. He knows the following information:
His home, the middle school, and high school are all on the same street.
His home, the elementary school, and his friend's house are on the same street.
The angle between the elementary school, middle school, and his home is congruent to the angle between his friend's house, the high school, and his home.


What theorem can Abdul use to determine that certain angles are congruent? (5 points)


Corresponding Angles Theorem
Vertical Angles Theorem
Pythagorean Theorem
Angle-Angle-Side Theorem

Answer 1

@mathmale

Answer 2

I agree that your choice of answer is the best one.

Answer 3

@mathmale 1 more question

Answer 4

Go ahead.

Answer 5

why does it show some anonymous person join the post? when you cant see any details about him/her

Answer 6

That's just the way in which OpenStudy was designed. The idea is to let you know how much interest others are showing in this particular post.

Answer 7

Your most recent post (question) appears to be incomplete. Wasn't there more to it?

Answer 8

after this question i have 1 last one and then i submit..

Answer 9

by this one i mean the one i just posted 1 minute ago

Answer 10

What about the problem involving this guy Hector's proof?

Answer 11

Again: I don't think you've shared all the info that was part of this question.

Answer 12

If and ∠ 1 ≅ ∠ 2, prove that ∠ NLO ≅ ∠ NPM.

Answer 13

Wouldn't there be a diagram with that? I have no way of knowing right now where these 2 angles are or of how they relate to one another.

Answer 14

Not trying to give you a hard time...However, I've already clicked on those 2 images and do not feel I have all the info, illustrations, etc., that came with this latest problem.

Answer 15

nope that is everything

Answer 16

Can't see angles NLO or NPM. Are you postive you have no illustration of these angles anywhere?

Answer 17

i dont care if you're giving me hard or not lol i just want to get this finished and understand it if necessary

Answer 18

https://horizon-bluemouse.brainhoney.com/Resource/51235391,0/Assets/58639_51dc42ec/05_07_6a.jpg

Answer 19

thats the triangle

Answer 20

Aha. Finally the illustration I was so desperate to see.

Answer 21

it was in the pictures i provided as well -_- llmao

Answer 22

I don't agree (sorry) with your choice of statement #4. The labelling looks fine to me.

If you're willing, eliminate answer statement 4 and concentrate on the other statements. Which one best explains why this guy "made a mistake?"

Answer 23

omg

Answer 24

its statement 1 isnt it

Answer 25

Explain why you think it's #1. Note that line segment LN is congruent with segment NP, and <1 is congruent with <2.

Answer 26

It gives us the wrong statement when clearly it privides the profe in the very beginning of the question.

Answer 27

provides *** and proof*

Answer 28

Both congruencies are mentioned in both the problem and the proof. Why do you believe this statement is wrong?

Answer 29

because it's describing the smaller triangle instead of the big one which we are focused on

Answer 30

Seems to me that there's no "small" or "big" triangle: I see triangles LNO and MNP as being the same (similar or congruent).

Answer 31

I do see that <N is the same for both of those triangles.

Answer 32

yes

Answer 33

I haven't found any mistakes yet. Now focusing on the very last statement, #5. Can you find fault with it, or is it OK?

Answer 34

I've gone thru the proof several times and cannot clearly see anything wrong with it. Can you?

Answer 35

no i cant but there has to be something wrong @mathmale

Answer 36

NO STATEMENT 1 is incorrect!!!!

Answer 37

its not given in the proof

Answer 38

I think you mean ":It's not given in the problem statement."

Answer 39

yes

Answer 40

Yes, I agree with you. Congrats. You saw that mistake before I did.

Answer 41

don't ie, you see everything YOU ARE TO GOOD AT MATH to say that! :)

Answer 42

i got 1 more and i'll post it in new post

Answer 43

Oh, I wish.

Answer 44

Put it up quickly.