## perl 2 years ago Geometry Mathquestion for Loveya69

1. perl

give me a second, lol

2. LoveYou*69

Okay cx

3. perl

how do you upload an image?

4. LoveYou*69

Attach File *I think*

5. perl

thanks

6. perl

sorry for the wait

7. perl

number 31

8. perl

|dw:1366882143016:dw|

9. perl

nope, doesnt have to be congruent

10. perl

we want it to be a parallelogram. only opposite sides of a parallogram have to be congruent, but thats not really going to be used here

11. perl

12. LoveYou*69

Well, if DAB = 40º, and DCB = 40º then ADC = ABC which makes it a parallelogram right?

13. perl

i meant, not all 4 sides have to be congruent

14. perl

15. LoveYou*69

because if those two angles are equal then wouldnt the other two that are across from each other be equal?

16. Peter14

not necessarily

17. perl

let me redraw that

18. LoveYou*69

Really Peter?:/ Try drawing that with those two angles equaling exactly 40º and see if you can get the other two angles not to equal each other.

19. Peter14

a kite

20. perl

|dw:1366882582720:dw|

21. perl

peter, oh yes a kite does satisfy these conditions , but is not a parallelogram

22. Peter14

are rhombuses (rhombii?) kites?

23. .Sam.

Can I post the solution? ;)

24. perl

sam, i would prefer you not, but...

25. perl

give loveyou a chance :)

26. LoveYou*69

DC and AB are congruent angles tho right? so if ABC = DCB then ADC = CBA which means DC = AB and DA = BC

27. LoveYou*69

Lets not give me a chance lol im making myself feel stupid

28. Peter14

how about this: look at all the choices from D to A and try to draw a counterexample for each one.

29. perl

peter, good idea :)

30. LoveYou*69

lol,letsnot, i didnt get sleep im too tired for this :P

31. Peter14

no, let's do it!

32. LoveYou*69

Feel free

33. Peter14

34. LoveYou*69

It's not my problem lol

35. Peter14

"Geometry Mathquestion for Loveya69"

36. LoveYou*69

It's not mine .-. If it was mine I'd be able to do it. I have 100 in my geometry class. but im not even doing this stuff in mine

37. perl

Definition: A kite is a quadrilateral with two distinct pairs of adjacent sides that are congruent. (1) The diagonals of a kite meet at a right angle. (2) Kites have exactly one pair of opposite angles that are congruent.

38. Peter14

thanks perl, I didn't remember that

39. perl
40. perl

peter I got B)

41. mayankdevnani

@perl in my opinion the answer would be option b and option d!!!!!

42. perl

option d is wrong, because you can produce a kite , b is right

43. perl

a kite satisfies option d and is not a parallelogram

44. mayankdevnani

but in quest. it is given that it is a parallegoram and in parallelogram , opposite sides are equal!!!!!

45. mayankdevnani

@perl and @Peter14

46. Peter14

no, in question it is given what conditions must be true for it to be a parallellogram

47. mayankdevnani

but what about angles of kite?????

48. mayankdevnani

@perl and @Peter14

49. mayankdevnani

|dw:1366929990059:dw|

50. Peter14

only two angles are given to be 40 degrees. The other two angles can be anything so that the sum of the 4 angles is 360 degrees

51. mayankdevnani

|dw:1366930082573:dw|

52. mayankdevnani

in triangle abc, it is an isosceles triangle. it means that angle 1=angle2!!!! right @Peter14

53. Peter14

sure. set the sum of angles 1 and 4 to 40 degrees and the sum of angles 2 and 5 will also be 40 degrees.

54. Peter14

sure, it could be a rhombus, and therefore a parallelogram, but you can't assume that.

55. mayankdevnani

@Peter14 for this time, please forgot the question, concerntrate on my question!!!!

56. Peter14

angles 3 and (not given) could vary. the sum just has to be 280.

57. Peter14

sure, let's go with your question. yes, angle 1 = angle 2 and angle 4= angle 5.

58. mayankdevnani

but in perl question!!!!!

59. Peter14

|dw:1366885812169:dw| so what about its angles?

60. mayankdevnani

angle 1=angle2 and angle4=angle 5

61. Peter14

yes... and?

62. mayankdevnani

and what?

63. Peter14

what exactly are you trying to prove here?

64. mayankdevnani

65. perl

|dw:1366886101425:dw|

66. perl

its difficult to force this into a kite shape

67. perl

@Peter14 this definition is wrong: Definition: A kite is a quadrilateral with two distinct pairs of adjacent sides that are congruent. (1) The diagonals of a kite meet at a right angle. (2) Kites have exactly one pair of opposite angles that are congruent.

68. Peter14

(shrug) It doesn't really matter to me. I've already taken geometry.

69. perl

it doesnt have to be exactly one pair of congruent sides, both pairs could be congruent. here is an animation http://www.mathsisfun.com/definitions/kite.html

70. perl

for instance a square is a kite

71. perl

it should say, a kite has at least one pair of congruent angles

72. perl

@Peter14 here is a discussion, its a controversy http://answers.yahoo.com/question/index?qid=20100506151637AAPkWXY

73. perl