Carla drew two triangles; triangle ABC and triangle PQR, on a grid. She planned to cut out the two triangles to make a flag. The vertices of triangle ABC are at A(1, 4), B(-2, -1), and C(3, -2). The vertices of triangle PQR are at P(-3, 0), Q(-2, -4), and R(2, 3).
Using the coordinates of the vertices of each triangle explain whether the two triangles are congruent, similar or neither.
Note: I understand I have to apply the formula, but I don't know what goes into it. Help is appreciated.

- anonymous

- katieb

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- anonymous

- anonymous

- anonymous

1st it seems to be NePAL'S flag!! hehe ;)

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- anonymous

?

- anonymous

Does anyone know how to do this..?

- anonymous

what i think is....
findthe lengths of each sides of the 2 triangles .. and then compare the two triangles!!

- anonymous

Could you help me to do that?

- anonymous

http://www.google.co.in/imgres?um=1&hl=en&client=browser-rockmelt&sa=N&channel=omnibox&biw=1280&bih=649&tbm=isch&tbnid=bh8v21VR4Jb1AM:&imgrefurl=http://www.mapsofworld.com/flags/nepal-flag.html&docid=vjzE8hJZgwvqnM&imgurl=http://www.mapsofworld.com/images/world-countries-flags/nepal-flag.gif&w=390&h=265&ei=i-_BT-noOcKJrAfHk5zJCQ&zoom=1

- anonymous

I just need the answer because I don't know how to set it up.

- anonymous

|dw:1338109893305:dw|

- anonymous

c dis is d triangle!!

- anonymous

U KNOW THE DISTANCE FORMULA RIGHT?

- anonymous

Yes, I do, but I was wondering if the two triangles were congruent, similiar, or neither? It looks like neither.

- anonymous

ok..now calculate the sides ...by using distance fomula!!

- anonymous

and then compae get it?

- anonymous

No, I'm still lost.

- anonymous

*compare

- Callisto

When you get the distance, you can compare them
Same length of side pairs=> congruent
Length are in ratio => similar
Neither => neither

- anonymous

ok first u calculate the distances ..and then temme!!

- anonymous

@Callisto .....hell yeah!

- anonymous

Can someone show me how to get the distance? I know the formula, but not what to plug in.

- Callisto

\[AB=\sqrt{(1-(-2))^2 + (4-(-1))^2} = \sqrt{(3)^2 + (5)^2} = \sqrt{34}\]

- anonymous

c callisti did it already... @Callisto how r u so fast in latex??

- anonymous

So what would the answer be?

- Callisto

I've typed that about 10 minutes ago :|

- anonymous

u try it urslf.. callisto has given u hint

- Callisto

You need to find out all the length first :|

- anonymous

I don't understand how. ):

- anonymous

ooo ...lol

- anonymous

Hahaha.

- anonymous

c dis ... u'll undrstnd http://www.teacherschoice.com.au/maths_library/trigonometry/triangle_given_3_points.htm

- anonymous

Ok, I will work it out.

- anonymous

its an example!!

- anonymous

It is neither?

- Callisto

I think so

- anonymous

Yay!

- anonymous

yep!

- anonymous

congo!!

- Callisto

here's the graph :|

##### 1 Attachment

- anonymous

:)

- anonymous

The vertices of triangle PQR on a coordinate grid are P(1, 5), Q(1, 3), and R(3, 2). Provide the coordinates of the vertices A, B, and C of triangle ABC that is congruent to PQR and explain why the two triangles are congruent. Do you understand this?

- anonymous

are u doing your home work her??

- anonymous

c'mon do it!!

- anonymous

I am taking questions from a review and trying to figure them out.

- anonymous

I don't know what it is asking for. If the two triangles are congruent, they equal each other.

- anonymous

see.. if two triangles ar congruent means .. there all sides are equal.. and allangles are equal!!

- anonymous

So on a graph, it would be on the opposite side of the first?

- anonymous

not necessary ... but yes eevn that is a possibility ..

- anonymous

there are many possibilities

- anonymous

A(2,6) B(2,4) C(4,3)
Is this congruent to the first?

- anonymous

yep

- anonymous

best method to find answers for such question is ... add or subtract a constant to all the coordinates!!

- anonymous

TY

- anonymous

wcum ..srry 4 dis... bt medal!!

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