luisz 3 years ago A student made the table shown below to prove that PQ is equal to RQ.

1. luisz

SQ = TQ Given m∡SQP = m∡TQR Given m∡RSQ = m∡PTQ Given m∡SQR = m∡SQP + m∡PQR Angle Addition Postulate m∡TQP = m∡TQR + m∡PQR Angle Addition Postulate m∡TQP = m∡SQP + m∡PQR Substitution m∡SQR = m∡TQP Transitive Property PQ = RQ CPCTC

2. luisz

A. Provide the missing statement and justification in the proof. B. Using complete sentences, explain why the proof would not work without the missing step.

3. luisz

ESSAY SUBMISSION a. SQ= TQ, angle SQR= angle TQP, and PQ=RQ by the SAS postulate. b. Without the eight step, we could not really verify for sure whether these sides and angle were congruent without the SAS postulate.?

4. luisz

tips?

5. Calcmathlete

Drawing.

6. luisz

7. luisz

there's the drawing delivered by Papa Johns Pizza Geocenter

8. Calcmathlete

Ok, first of all, in order to use CPCTC, what would you first have to prove?

9. luisz

That all of the sides and angles are congruent!!!!!!!!!!!!!!!!!!!

10. Calcmathlete

Well sorta correct. CPCTC stands for Congruent Parts of CONGRUENT TRIANGLES are congruent. *Hint hint *nudge nudge *wink wink

11. luisz

Congruent sides!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

12. Calcmathlete

Ok, all of this stuff you're blurting out works because of this. You have to prove that the triangles are congruent first.

13. luisz

hmm

14. luisz

interesting indeed

15. luisz

ehh, SQ=TQ, PQ=RQ...

16. Calcmathlete

No, all that is done for you. Review the proof and look for why the triangles are congruent.

17. luisz

m∡SQR = m∡TQP?

18. Calcmathlete

No. Which of these works? ASA SSS SAS HL AAS?

19. luisz

hmm

20. luisz

SAS?

21. Calcmathlete

Nope.

22. luisz

ehhh

23. luisz

SSS?

24. Calcmathlete

nope

25. luisz

AAS?

26. Calcmathlete

Nope

27. luisz

ASA?

28. Calcmathlete

Wow...you didn't learn HL, so technically you picked the last possible answer...yes it's correct.

29. Calcmathlete

So with that, fill in the missing statement and reason.

30. luisz

so, HL is correct?

31. Calcmathlete

No. ASA

32. luisz

k

33. luisz

k

34. luisz

so ASA

35. luisz

why is it right?

36. Calcmathlete

Fill in the missing statement and reason using this. Remember, this is a two column proof, so the statement and reason has to be separate.

37. luisz

So the reason is ASA...

38. Calcmathlete

and...

39. luisz

m∡SQP = m∡TQR

40. luisz

and

41. luisz

SQ = TQ

42. luisz

and

43. luisz

m∡SQR = m∡TQP

44. luisz

Am I right?

45. Calcmathlete

NOPE. ALL THAT IS INCORRECT. CAPS LOCK INITIATED!

46. luisz

NOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO....

47. luisz

...OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO

48. luisz

K

49. Calcmathlete

THIS STATEMENT SHOULD BE FINISHING UP PROVING THE TRIANGLES CONGRUENT.

50. luisz

Give me at least two out of the third things

51. Calcmathlete

You already have everything you need and it's only 1 thing, so I can't give you anything.

52. luisz

PQ=RQ?

53. luisz

is that it?

54. luisz

RQP=PQR?

55. Calcmathlete

Face palm...

56. luisz

face palm...?

57. Calcmathlete

\[TRIANGLE \space RSQ \cong TRIANGLE \space TSQ\]

58. Calcmathlete

SEE? I DID IT I ALL CAPS! lol

59. luisz

WOW!!!!!!11111111111111111111111111111111111111

60. Calcmathlete

Yeah. Whenever you have something like ASA or SSS, the statement is saying that the triangles are congruent.

61. luisz

Yeah....

62. luisz

WOW...

63. luisz

So you found ASA because...

64. luisz

two of the angles were congruent and one of the sides were congruent?

65. Calcmathlete

*two of the angles were congruent and the included side was congruent

66. luisz

TSQ and RSQ

67. luisz

ehh

68. luisz

could you draw em for me or point them out?

69. Calcmathlete

Oops. \[\triangle RSQ \cong \triangle PTQ\]

70. Calcmathlete

I AM GETTING BETTER AT CODING USING THE EQUATION EDITOR! YAY!

71. luisz

One has an S in the middle while the other has a T in the middle...

72. Calcmathlete

Yeah. I mistyped it.

73. luisz

ehh

74. luisz

could you point them out for me?

75. Calcmathlete

What do you mean? Bring up the drawing and the proof and see how everything works. I can't really s\point them out unfortunately.

76. luisz

ahh

77. luisz

I see

78. luisz

Ok, next beast coming up

79. luisz

this is the last beast

80. Calcmathlete

Btw, you left this statement out of the previous problem's answer

81. Calcmathlete

In your previous question, you needed 3 statements and you only had 2. Plus, in this question, you forgot to answer B unless you did.

82. luisz

k...

83. luisz

next beast coming right up