Question

Someone please help me- Fan and medal
Line/Angle Proof:
Find vertical angles, two parallel lines with a transversal that intersects them, or a perpendicular bisector in your everyday world. Take a picture of it. Then, create a given and prove statement for the figure. Finally, write a proof using at least one of the following theorems:
•Vertical Angles
•Corresponding Angles
•Alternate Interior Angles
•Equidistance of a Point on a Perpendicular Bisector

Your proof may be a two-column, paragraph, or flow chart proof.

Answer 1

@Hero

Answer 2

@nincompoop

Answer 3

http://tr.im/K5HG

Answer 4

So basically I have to find something that crosses like that? what possibly looks like two cross lines in everyday like? a street is the only thing that pops in my head but I don't think I can get a pictures of a four way street..

Answer 5

You can take a picture of google's version of it. Then do the proof

Answer 6

Could you help me write the proof? Lets say I want to use a wire fence, what could I say? Saying that they cross just seems too simple.

Answer 7

You begin with the given situation which first involves identifying objects such as lines and angles. Then you acknowledge what it is you intend to prove such as \(\angle{1} \cong \angle{2}\). Afterwards you use the definition and properties of vertical angles to arrive at at a conclusion that supports your intentions.

Answer 8

so for instance, if I'm using a wire fence as an example of vertical angels, I can say that each square crosses at 90 degrees? Each side of one square is congruent to each other, as to the squares crossing? and defining vertical angles like, "each of the pairs of opposite angles made by two intersecting lines." to support my reasons that a fence has vertical angels?

Answer 9

Lines do not need to intersect at 90 degrees in order to create vertical angles.

Answer 10

I know, but it was the second thing that came to my head. a fence seems easy enough, right? a fence seems more clear to me, atleast.

Answer 11

Actually, now that I think about it, it's better if you try proving the other two options rather than trying to prove vertical angles are congruent because usually when proving vertical angles, you're given two congruent angles to begin with. I'd have to double check to see if there is a way to prove vertical angles without being given anything other than just the objects themselves.

Answer 12

Actually, if two lines intersect, they will by default create vertical angles so we can start with that.

Answer 13

So we are going to do vertical lines and not the other options?

Answer 14

You can do any of the options you want. I only spoke about vertical angles because you made a reference to it earlier by describing crossing lines. A good picture to use for the proof would be two train tracks that cross each other.

Answer 15

okay, two train tracks. how can I describe that?
I'm not very good at describing things when theyre obvious things..

Answer 16

its like saying, "birds tweet because they're birds" haha, I just suck at explaining.

Answer 17

https://i.ytimg.com/vi/zOoCuJIqQ0Q/maxresdefault.jpg

Answer 18

First you might want to crop that picture so that only the two crossing tracks with the angles are showing.

Next you can begin by stating something like:

Let one track represent \(l_1\) and the other track represent \(1_2\). Let the angles between the tracks represent \(\angle{1}\), \(\angle{2}\), \(\angle{3}\), \(\angle{4}\) respectively. Then proceed from there with constructing your proof. Correspondingly, label each object on the picture itself.

Answer 19

Let one track represent l 1 and the other track represent 1 2 . Let the angles between the tracks represent ∠1 , ∠2 , ∠3 , ∠4 respectively. each of the pairs of opposite angles made by two intersecting lines. WHAT COULD I SAY AFTER THAT

Answer 20

That's a good start. It may help to actually create a statement and reasons chart:

Statement: Reasons:
\(l_1, l_2, ∠1 , ∠2 , ∠3 , ∠4, \) Point P Given
\(l_1\) and \(l_2\) intersect at Point P When two lines intersect, the form opposite
angles

∠1 and ∠3 are opposite angles
∠2 and ∠4 are opposite angles Definition of Intersecting Angles
\(∠1 \cong ∠3\)
\(∠2 \cong ∠4\) Definition of Opposite Angles

Something like that.

Answer 21

Actually, that posted kind of sloppy, but I think you get the idea.

Answer 22

This helped me a lot (: I guess looking at an actuall picture and someone explaining it themselves I understood. I really don't like FLVS

Answer 23

The reason for the second statement is supposed to read:

"If two lines intersect at a point, P, then opposite angles are formed".

Answer 24

You conclude with the the statement
\(∠1\) and \( ∠3\) are vertical angles
\(∠2\) and \(∠4\) are vertical angles

Answer 25

thank you ((: