A community for students.

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

anonymous

  • one year ago

http://prntscr.com/7tdjo3

  • This Question is Closed
  1. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    @phi

  2. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    @ParthKohli

  3. misssunshinexxoxo
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Don't you see that abc and gfe are congruent?

  4. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Yes i do.

  5. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    But with which property do i prove that with?

  6. misssunshinexxoxo
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    You should write out a proof for this.

  7. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Okay, but im not really good at this, could you walk me through it?

  8. misssunshinexxoxo
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Sure review this https://www.wyzant.com/resources/lessons/math/geometry/triangles/angles_of_triangles

  9. phi
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 3

    Here is what the first sentence tells us < ABC = <DEC

    1 Attachment
  10. phi
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 3

    write that statement and next to it write the reason we know it is true. Do you know the reason?

  11. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    No, i dont.

  12. phi
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 3

    We are told it is true. the short reason is " given "

  13. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Oh okay.

  14. phi
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 3

    so the first line of your proof should read Statement Reason < ABC = <DCE Given

  15. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Okay.

  16. phi
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 3

    <DCE is not part of the triangle we are interested in (the question asks us to prove triangle ABC is similar to triangle GEF.. which means show "corresponding angles" are equal ) However, we can deduce something about angle GEF Any idea what ?

  17. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    That angle GEF is similar to triangle DEC?

  18. phi
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 3

    angles can only be "congruent" (or not!) to other angles. but you should have learned about this fact: |dw:1437055059934:dw|

  19. phi
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 3

    if you have an "x", the angles opposite each other are congruent (equal to each other) Notice that is also true |dw:1437055171801:dw|

  20. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Ohhh...okay

  21. phi
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 3

    Look at your problem. what angle is a vertical angle to angle CED ?

  22. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    angle GEF?

  23. phi
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 3

    Yes. and angle GEF is part of the triangle we need to show is similar. so we found a useful fact write down the next line in the proof Statement Reason < ABC = <DCE Given <DCE = <GEF vertical angles

  24. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Yay! awesome...

  25. phi
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 3

    I messed up the name of the angle. Better fix it Statement Reason < ABC = <DEC Given <DEC = <GEF vertical angles

  26. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    lol, okay.

  27. phi
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 3

    if <ABC = < DEC and <GEF = <DEC any idea about <ABC and <GEF ?

  28. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Well, i think that angle ABC and Angle GEF are congruent.. But not sure by which property it is proven.

  29. phi
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 3

    "things equal to the same thing are equal to each other" I think they also use the name "transitivity" (which is a fancy word for the first statement)

  30. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Okay.. So i would put that as: <ABC = <GEF By the transitivity property?

  31. phi
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 3

    so now the proof is Statement Reason < ABC = <DEC Given <DEC = <GEF vertical angles <ABC = <GEF transitivity

  32. phi
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 3

    yes

  33. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    That would be it, right?

  34. phi
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 3

    now we can add the other given statement

  35. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Oh okay

  36. phi
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 3

    can you add that next line? Here is the picture (I tried to add a blue line showing the two angles )

    1 Attachment
  37. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    mmm...Im guessing here so i might be wrong... Angles ABC and Angle GFE have corresponding angles? im not sure

  38. phi
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 3

    Read the original problem. Do you see they tell us a second fact about 2 other angles? add that info to your proof and write the reason

  39. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    "Angle GEF is congruent to Angle DEC?"

  40. phi
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 3

    Is that what they say? read it carefully

  41. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    GFE*

  42. phi
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 3

    They write: In the figure below, .... yes it is <GFE and what is the other angle?

  43. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    DCE**

  44. phi
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 3

    yes, it is painful keeping the letters in the right order... but it matters. so what is the next statement we can add to the proof (and the reason)?

  45. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Angle GFE ≅ ∠DCE..... Idk by which reason.

  46. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    By which reason??

  47. phi
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 3

    yes, that is good. the reason is because we were told.

  48. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    OH "given"

  49. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Thank you so much Phi! I appreciate it so very much <3

  50. phi
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 3

    yes, given. Now notice that angle DEC is not part of the triangle we want. but we can use the same reasoning that we did before. so far we have Statement Reason < ABC = <DEC Given <DEC = <GEF vertical angles <ABC = <GEF transitivity <GFE ≅ ∠DCE Given any idea what to do next ?

  51. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    um no

  52. phi
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 3

    < DCE = what other angle ?

  53. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    FGE?

  54. phi
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 3

    what angle is a vertical angle of <DCE ? (the other side of the "x" )

  55. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    EFG?

  56. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    NOOO ABC

  57. phi
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 3

    |dw:1437057224248:dw|

  58. phi
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 3

    when you write down an angle, the "middle" letter is at the vertex so you would write <ACB or <BCA

  59. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    okay..

  60. phi
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 3

    can you write the next statement in the proof? <DCE = ??? what reason?

  61. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Angle DCE = ACB by vertical angles?

  62. phi
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 3

    yes

  63. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    awesome

  64. phi
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 3

    Statement Reason < ABC = <DEC Given <DEC = <GEF vertical angles <ABC = <GEF transitivity <GFE ≅ ∠DCE Given <DCE = <ACB vertical angles notice we can now write <GFE= <ACB what is the reason ?

  65. phi
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 3

    the reason is transitivity next, if two angles of a triangle are congruent, then the third angles are also once you have all 3 angles congruent, you have proven the two triangles are similar

  66. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Thank you so so much! Sorry for leaving, my computer has been crashing a lot lately.

  67. Not the answer you are looking for?
    Search for more explanations.

    • Attachments:

Ask your own question

Sign Up
Find more explanations on OpenStudy
Privacy Policy

Your question is ready. Sign up for free to start getting answers.

spraguer (Moderator)
5 → View Detailed Profile

is replying to Can someone tell me what button the professor is hitting...

23

  • Teamwork 19 Teammate
  • Problem Solving 19 Hero
  • You have blocked this person.
  • ✔ You're a fan Checking fan status...

Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.

This is the testimonial you wrote.
You haven't written a testimonial for Owlfred.