can someone help me?

- anonymous

can someone help me?

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- anonymous

What is the value of x?
9
12
6
2

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- anonymous

i think it is 6...

- anonymous

@Psymon is that correct?

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## More answers

- Psymon

Yes it is : )

- anonymous

thankss

- anonymous

@Psymon can you help me with another please??

- Psymon

Lol, lets see what ya got.

- anonymous

Theorem: The diagonals of a parallelogram bisect each other.
Kim is writing the proof of the theorem using two properties of a parallelogram as shown below.
• The opposite sides of a parallelogram are parallel.
• The opposite sides of a parallelogram are congruent.

- anonymous

Using the two given properties, Kim proved that triangle AGB is congruent to triangle CGD using the ASA Postulate.
What theorem can Kim use to prove that segment AG is congruent to segment CG, and that segment BG is congruent to segment DG to show that the diagonals bisect each other?

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- Psymon

TO be honest, I know nothing of the theorems and postulates. I never once learned them. I can look and find measures of angles lengths of sides, but when it comes to the proofs of these things, I never have even done them in school x_x

- anonymous

lol aww okayy thanks anyways. can you check a multiple choice for me then?

- Psymon

Yeah, Ill try and look, lol.

- anonymous

Town 1 and Town 2 are situated 6 km apart on the bank of a river. The school and the church are 1km apart situated on the other bank of the river. The market is situated 5 km away from the school, as shown below.

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- anonymous

How far is the school from Town 1?
11 km
25 km
12 km
30 km

- anonymous

i think its 25?

- Psymon

Yep xD

- anonymous

yayy lol

- Psymon

Haha, yeah, youre good at the multiple choice ones so far, lol.

- anonymous

lol yea but i just always second guess myself..bad habit

- Psymon

Well, its okay to second guess yourself, but first instinct is usually correct xD

- anonymous

haha yea i noticed

- Psymon

Well glad ya got them, though :3

- anonymous

thanks(:

- anonymous

hey i need your help again? @Psymon

- anonymous

Matt drew the diagram shown below and described it as an equilateral triangle with a square inside it. Point D is the midpoint of segment AC.

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- anonymous

The geometry teacher pointed out that the triangle cannot be equilateral since side AC is not equal to AB.
Which statement best explains why the measurements are incorrect?
Segment AB ˜ 12 + 17.7 + 12 ˜ 41.7.
Segment AB is 12 + 5 + 12 = 29.
Segment AB is 12 + 12 + 12 = 36.
Segment AB ˜ 12 + 12.5 + 12 ˜ 36.5.

- anonymous

im really not sure about this one but my best guess would be : Segment AB ˜ 12 + 12.5 + 12 ˜ 36.5.

- anonymous

you think that is right??

- Psymon

It isnt. Here is why:

- anonymous

Segment AB is 12 + 5 + 12 = 29. how about that one? but i still would like to know why(:

- Psymon

|dw:1378099264319:dw|
ignoring the fact that I didnt draw it proportional, that inner part is a square. So all sides of that square are the same length. If we can find one side of that square, we can see just how long that AB segment is. Now there is a way to find it:

- anonymous

so my second guess was wrong too??

- Psymon

|dw:1378099394756:dw|
Here I can highlight this triangle. One of the sides of the square is also a side of the triangle. Now because its a square whose side lies perfectly in line with the triangle, we can assume that this triangle is a right triangle. And because it is a right triangle and we know two sides, we can use pythagorean theorem to find out that missing side and, thusly, the length of all the sides of the square.

- Psymon

|dw:1378099476608:dw|

- Psymon

|dw:1378099551860:dw|

- anonymous

yayyy lol

- Psymon

Make sense? :P

- anonymous

thanks you're amazing. & yepp

- Psymon

Okay, glad it does :3

- anonymous

im sorry to bother but may i ask another?

- anonymous

The figure below shows line AB parallel to line CD. Segment EF is parallel to segment GH. What is the value of x?

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- Psymon

Yeah, sure xD

- anonymous

its that one

- Psymon

Did you have a guess for it by chance?

- anonymous

not for this one i think my brain is giving up & so am i lol

- Psymon

Alright, fair enough xD I dont know all the postulates or what they call the angles, but this is kind of a general rule. If a line intersects 2 parallel lines then:
|dw:1378099944792:dw|
The opposite corner angles are the same and x + y = 180. So looking at your picture, its telling youthat 2x + 10 and x + 40 are the exact same angle. So to solve for x, you do
2x + 10 = x + 40

- anonymous

15??O.o

- Psymon

2x + 10 = x + 40
-x -x
x + 10 = 40
- 10 - 10
x = 30

- anonymous

woah i was off .... lol

- Psymon

But you can see how I got it, right? xD

- anonymous

yes(:

- Psymon

Okay, cool xD Yeah, I know hwo to get the measures, I just dont knwo what anything is called xD Congrunet angles, corresponding angles, theorem blah blah x_x

- anonymous

lol yea i dont really need it for these luckily cause i would've been screwed

- anonymous

The figure below shows a pair of parallel oil pipelines, PQ and RS. EF and GH are maintenance walkways that are parallel to each other.

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- anonymous

What is the measure of angle GMS?
240°
150°
120°
300°

- anonymous

is that one 120??

- Psymon

Yep :3

- Psymon

Because of the I have no idea theorem : )

- anonymous

yay lmao

- anonymous

Sophia wrote the equation of the circle in the center radius form as (x - p)2 + (y - q)2 = 25.
The value of p + q is _____.

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- Psymon

Yeah, these arent that bad at least xD

- anonymous

know that one??

- anonymous

yea they're not. it was just so many and now im at the end so im just like ughhhh

- Psymon

Yeah, that one I can do. This one I can maybe do an explanation for, though xD Can you tell what the coordinates of the center of the circle are?

- anonymous

okay (: is it 3,2??

- anonymous

i need help with 2 more and then im done btw:3

- Psymon

Yep :) Now the equation of a circle is:
\[(x-h)^{2}+(y-k)^{2}=r ^{2}\]Where h is the x-coordinate and k is the y-coordinate. Now, even though we can get the answer now, I just want to make sure we know how it is written. Now even though I wrote the letters h and k, these are what theyre supposed to be. Its just they used p and q in this case.
So the mainthing to know and to not get confused by is that minus sign in front of h and k MUST be there. If the negative is NOT there, there can be only one reason. For example
(x-(-2))^2 = (x+2)^2
SO basically, if you see a plus sign there, its actually a negative number. Now for us, we dont have any negative coordinates, we have positive 3 and positive 2. Because of this, if we were to write the equation for this circle itd be:
\[(x-3)^{2}+(y-2)^{2}=25 \]I just wanted to make sure we understood that first, though. So since 3 is what would be "p" and 2 is what would be "q", p + q = 5

- anonymous

yayy thank you(:

- anonymous

Quadrilateral ABCD in the figure below represents a scaled-down model of a walkway around a historic site. Quadrilateral EFGH represents the actual walkway. ABCD is similar to EFGH.
What is the total length, in feet, of the actual walkway?

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- anonymous

do you know that one?

- Psymon

Yeah. If theyre scaled down versions, then the sides have equal ratios. For example:
|dw:1378100992311:dw|
Because they are scaled down and congruent versions of each other, we can say this:
\[\frac{ AB }{ EF }=\frac{ BC }{ FG }=\frac{ CD }{ GH }=\frac{ DA }{ HE } \]So basically, if we take two sides that are common between the two and divide them, we can then figure out all the other sides. So for us, we're given AB and EF. Because these two sides are the same, we can divide the two numbers and see what the ratio is. Now, I can choose the big figure to be on top of the fraction or the small number, it does not matter. So if I take EF and divide it by AB, I get 45/5 = 9. So what this means, since the small side of 5 multiplied by 9 gives you the big side of 45, I can multiply every small side by 9 to get the corresponding big side. So BC = 4, BC * 9 = 36, therefore FG = 36. CD = 4, 4 * 9 = 36, therefore GH = 36. DA = 3, 3 * 9 = 27, therefore HE =27. Make sense?

- anonymous

youre really good with explaining lol yes i understand^.^ can you help with my last one??

- Psymon

Go for it xD

- anonymous

George folds his origami paper along the dotted lines shown below so that the triangular flaps overlap exactly on the square.

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- anonymous

If the dimensions of the origami paper are decreased by , what will be the new area of the paper?
98 square inches
196 square inches
49 square inches
147 square inches

- anonymous

btw it was supposed to say decreased by 1/2

- Psymon

I think I can get this, but since I dont know theorems and such I have to doa bit of drawing and checking xD

- anonymous

lol okay

- anonymous

i was thinking its 98..

- Psymon

Nah, its not.

- anonymous

or 49.. ghr im not even sure

- anonymous

yeaa i just realized it wasnt

- Psymon

49. I had to figure it out a certain way, but not sure if my way is the way its supposed to be done xDD

- anonymous

okay thank you so much im finally done :D

- Psymon

Yeah, no problem ^_^

- anonymous

guess what i passed with a 88^.^

- anonymous

but im SO exhausted... its been a long day. So goodnight and thank you for all the help<3 (: you're amazingggg! lol

- Psymon

Lol, just glad to help. Night ^_^

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