## anonymous 4 years ago 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.

1. anonymous

@ParthKohli @Callisto @dpaInc @AccessDenied @ajprincess

2. anonymous

@shivamsinha

3. anonymous

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

4. anonymous

?

5. anonymous

Does anyone know how to do this..?

6. anonymous

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

7. anonymous

Could you help me to do that?

8. anonymous
9. anonymous

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

10. anonymous

|dw:1338109893305:dw|

11. anonymous

c dis is d triangle!!

12. anonymous

U KNOW THE DISTANCE FORMULA RIGHT?

13. anonymous

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

14. anonymous

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

15. anonymous

and then compae get it?

16. anonymous

No, I'm still lost.

17. anonymous

*compare

18. Callisto

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

19. anonymous

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

20. anonymous

@Callisto .....hell yeah!

21. anonymous

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

22. Callisto

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

23. anonymous

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

24. anonymous

So what would the answer be?

25. Callisto

I've typed that about 10 minutes ago :|

26. anonymous

u try it urslf.. callisto has given u hint

27. Callisto

You need to find out all the length first :|

28. anonymous

I don't understand how. ):

29. anonymous

ooo ...lol

30. anonymous

Hahaha.

31. anonymous

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

32. anonymous

Ok, I will work it out.

33. anonymous

its an example!!

34. anonymous

It is neither?

35. Callisto

I think so

36. anonymous

Yay!

37. anonymous

yep!

38. anonymous

congo!!

39. Callisto

here's the graph :|

40. anonymous

:)

41. 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?

42. anonymous

are u doing your home work her??

43. anonymous

c'mon do it!!

44. anonymous

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

45. anonymous

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

46. anonymous

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

47. anonymous

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

48. anonymous

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

49. anonymous

there are many possibilities

50. anonymous

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

51. anonymous

yep

52. anonymous

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

53. anonymous

TY

54. anonymous

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