## Ashley10116 3 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. Ashley10116

@ParthKohli @Callisto @dpaInc @AccessDenied @ajprincess

2. Ashley10116

@shivamsinha

3. shivamsinha

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

4. Ashley10116

?

5. Ashley10116

Does anyone know how to do this..?

6. shivamsinha

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

7. Ashley10116

Could you help me to do that?

8. shivamsinha
9. Ashley10116

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

10. shivamsinha

|dw:1338109893305:dw|

11. shivamsinha

c dis is d triangle!!

12. shivamsinha

U KNOW THE DISTANCE FORMULA RIGHT?

13. Ashley10116

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

14. shivamsinha

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

15. shivamsinha

and then compae get it?

16. Ashley10116

No, I'm still lost.

17. shivamsinha

*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. shivamsinha

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

20. shivamsinha

@Callisto .....hell yeah!

21. Ashley10116

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. shivamsinha

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

24. Ashley10116

So what would the answer be?

25. Callisto

I've typed that about 10 minutes ago :|

26. shivamsinha

u try it urslf.. callisto has given u hint

27. Callisto

You need to find out all the length first :|

28. Ashley10116

I don't understand how. ):

29. shivamsinha

ooo ...lol

30. Ashley10116

Hahaha.

31. shivamsinha

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

32. Ashley10116

Ok, I will work it out.

33. shivamsinha

its an example!!

34. Ashley10116

It is neither?

35. Callisto

I think so

36. Ashley10116

Yay!

37. shivamsinha

yep!

38. shivamsinha

congo!!

39. Callisto

here's the graph :|

40. Ashley10116

:)

41. Ashley10116

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. shivamsinha

are u doing your home work her??

43. shivamsinha

c'mon do it!!

44. Ashley10116

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

45. Ashley10116

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

46. shivamsinha

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

47. Ashley10116

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

48. shivamsinha

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

49. shivamsinha

there are many possibilities

50. Ashley10116

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

51. shivamsinha

yep

52. shivamsinha

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

53. Ashley10116

TY

54. shivamsinha

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