Question

Create a given and prove statement for the figure.

Mine is vertical angle

Answer 1

yes, do you know what "vertical angle" mean?

Answer 2

Not really, math isn't my strong suit

Answer 3

Well, in geometry we need to have some information when we prove something, it's like when you discuss with your friends about anything. You pretty much have a starting point and you derive into something using things you know.
Same goes to geometry, we start out with what we know, and derive into something (also called "theorem") using things that are already proven and our starting point.
So, in order to prove a relationship between vertical angles, we need to have vertical angles, let's do a diagram:

in the drawing we know only one thing. "<1 is vertical angle with <3"

Answer 4

Okay I understand that much

Answer 5

So, now we have to prove a relationship between 1 and 3.
Let's begin, we know one thing, "Linear angles sum 180º" wich is true because for example, <4 and <3 actually form a straight line, let's use that:
\[m <1 + m <2 =180º\]
\[m<3 + m<2 = 180º\]
Since they are both equal to 180º, we can make them equal, like this:
\[m <1 + m <2 = m < 3 + m<2\]
if I sustract "m<2" to both sides it looks like this:
\[m<1=m<3\]
and that proves it. So we have found that if we have a pair of vertical angles, they will have the same measure.

Answer 6

You'll have to write that in a 2 column proof. or in paragraph.

Answer 7

Could you give me an example of a 2 column proof?

Answer 8

sure, a two column proof is where we write the statments on the right side, and reasons on the other.
Statement for example "My computer is faster than davids" and a reason would be "My computer has more recent hardware".
Pretty bad example, but it's the main idea, you give your statement, and then you justify it.
Here's an example with one applied to geometry:
http://4.bp.blogspot.com/_eIwxugTIJsw/SOps7boSEUI/AAAAAAAAATo/CfOXcLWM0Eg/s400/3.4a.bmp

Answer 9

Okay so my given is <1 is vertical angle with <3
or do I need to prove that?

Answer 10

it is given, yes.

Answer 11

Okay so what am I proving?

Answer 12

that the measure of those vertucal angles are equal.