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luisz

  • 3 years ago

A student made the table shown below to prove that PQ is equal to RQ.

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  1. luisz
    • 3 years ago
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    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
    • 3 years ago
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    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
    • 3 years ago
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    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
    • 3 years ago
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    tips?

  5. Calcmathlete
    • 3 years ago
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    Drawing.

  6. luisz
    • 3 years ago
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    1 Attachment
  7. luisz
    • 3 years ago
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    there's the drawing delivered by Papa Johns Pizza Geocenter

  8. Calcmathlete
    • 3 years ago
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    Ok, first of all, in order to use CPCTC, what would you first have to prove?

  9. luisz
    • 3 years ago
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    That all of the sides and angles are congruent!!!!!!!!!!!!!!!!!!!

  10. Calcmathlete
    • 3 years ago
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    Well sorta correct. CPCTC stands for Congruent Parts of CONGRUENT TRIANGLES are congruent. *Hint hint *nudge nudge *wink wink

  11. luisz
    • 3 years ago
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    Congruent sides!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

  12. Calcmathlete
    • 3 years ago
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    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
    • 3 years ago
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    hmm

  14. luisz
    • 3 years ago
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    interesting indeed

  15. luisz
    • 3 years ago
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    ehh, SQ=TQ, PQ=RQ...

  16. Calcmathlete
    • 3 years ago
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    No, all that is done for you. Review the proof and look for why the triangles are congruent.

  17. luisz
    • 3 years ago
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    m∡SQR = m∡TQP?

  18. Calcmathlete
    • 3 years ago
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    No. Which of these works? ASA SSS SAS HL AAS?

  19. luisz
    • 3 years ago
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    hmm

  20. luisz
    • 3 years ago
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    SAS?

  21. Calcmathlete
    • 3 years ago
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    Nope.

  22. luisz
    • 3 years ago
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    ehhh

  23. luisz
    • 3 years ago
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    SSS?

  24. Calcmathlete
    • 3 years ago
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    nope

  25. luisz
    • 3 years ago
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    AAS?

  26. Calcmathlete
    • 3 years ago
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    Nope

  27. luisz
    • 3 years ago
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    ASA?

  28. Calcmathlete
    • 3 years ago
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    Wow...you didn't learn HL, so technically you picked the last possible answer...yes it's correct.

  29. Calcmathlete
    • 3 years ago
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    So with that, fill in the missing statement and reason.

  30. luisz
    • 3 years ago
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    so, HL is correct?

  31. Calcmathlete
    • 3 years ago
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    No. ASA

  32. luisz
    • 3 years ago
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    k

  33. luisz
    • 3 years ago
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    k

  34. luisz
    • 3 years ago
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    so ASA

  35. luisz
    • 3 years ago
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    why is it right?

  36. Calcmathlete
    • 3 years ago
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    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
    • 3 years ago
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    So the reason is ASA...

  38. Calcmathlete
    • 3 years ago
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    and...

  39. luisz
    • 3 years ago
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    m∡SQP = m∡TQR

  40. luisz
    • 3 years ago
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    and

  41. luisz
    • 3 years ago
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    SQ = TQ

  42. luisz
    • 3 years ago
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    and

  43. luisz
    • 3 years ago
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    m∡SQR = m∡TQP

  44. luisz
    • 3 years ago
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    Am I right?

  45. Calcmathlete
    • 3 years ago
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    NOPE. ALL THAT IS INCORRECT. CAPS LOCK INITIATED!

  46. luisz
    • 3 years ago
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    NOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO....

  47. luisz
    • 3 years ago
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    ...OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO

  48. luisz
    • 3 years ago
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    K

  49. Calcmathlete
    • 3 years ago
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    THIS STATEMENT SHOULD BE FINISHING UP PROVING THE TRIANGLES CONGRUENT.

  50. luisz
    • 3 years ago
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    Give me at least two out of the third things

  51. Calcmathlete
    • 3 years ago
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    You already have everything you need and it's only 1 thing, so I can't give you anything.

  52. luisz
    • 3 years ago
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    PQ=RQ?

  53. luisz
    • 3 years ago
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    is that it?

  54. luisz
    • 3 years ago
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    RQP=PQR?

  55. Calcmathlete
    • 3 years ago
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    Face palm...

  56. luisz
    • 3 years ago
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    face palm...?

  57. Calcmathlete
    • 3 years ago
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    \[TRIANGLE \space RSQ \cong TRIANGLE \space TSQ\]

  58. Calcmathlete
    • 3 years ago
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    SEE? I DID IT I ALL CAPS! lol

  59. luisz
    • 3 years ago
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    WOW!!!!!!11111111111111111111111111111111111111

  60. Calcmathlete
    • 3 years ago
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    Yeah. Whenever you have something like ASA or SSS, the statement is saying that the triangles are congruent.

  61. luisz
    • 3 years ago
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    Yeah....

  62. luisz
    • 3 years ago
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    WOW...

  63. luisz
    • 3 years ago
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    So you found ASA because...

  64. luisz
    • 3 years ago
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    two of the angles were congruent and one of the sides were congruent?

  65. Calcmathlete
    • 3 years ago
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    *two of the angles were congruent and the included side was congruent

  66. luisz
    • 3 years ago
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    TSQ and RSQ

  67. luisz
    • 3 years ago
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    ehh

  68. luisz
    • 3 years ago
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    could you draw em for me or point them out?

  69. Calcmathlete
    • 3 years ago
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    Oops. \[\triangle RSQ \cong \triangle PTQ\]

  70. Calcmathlete
    • 3 years ago
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    I AM GETTING BETTER AT CODING USING THE EQUATION EDITOR! YAY!

  71. luisz
    • 3 years ago
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    One has an S in the middle while the other has a T in the middle...

  72. Calcmathlete
    • 3 years ago
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    Yeah. I mistyped it.

  73. luisz
    • 3 years ago
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    ehh

  74. luisz
    • 3 years ago
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    could you point them out for me?

  75. Calcmathlete
    • 3 years ago
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    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
    • 3 years ago
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    ahh

  77. luisz
    • 3 years ago
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    I see

  78. luisz
    • 3 years ago
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    Ok, next beast coming up

  79. luisz
    • 3 years ago
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    this is the last beast

  80. Calcmathlete
    • 3 years ago
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    Btw, you left this statement out of the previous problem's answer

  81. Calcmathlete
    • 3 years ago
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    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
    • 3 years ago
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    k...

  83. luisz
    • 3 years ago
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    next beast coming right up

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