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anonymous

  • one year ago

Read the statements shown below: If a closed figure has three line segments joined end to end, it is a triangle. If all the three angles of a triangle are congruent, it is an equilateral triangle. Morgan constructed a triangle with all three sides congruent in the geometry class. Based on the given statements, which is a valid argument?

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  1. anonymous
    • one year ago
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    t cannot be concluded that Morgan drew an equilateral triangle. It can be concluded that Morgan drew a closed figure having three congruent line segments joined end to end. It cannot be concluded that Morgan drew a closed figure having three line segments joined end to end. It can be concluded that Morgan drew a rectangle.

  2. anonymous
    • one year ago
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    @ganeshie8

  3. anonymous
    • one year ago
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    Need help desperately

  4. anonymous
    • one year ago
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    I think B

  5. anonymous
    • one year ago
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    please verify me

  6. anonymous
    • one year ago
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    @mathmate @mathstudent55

  7. anonymous
    • one year ago
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    @eyust707 @e.mccormick

  8. anonymous
    • one year ago
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    I guess no one is going to help.

  9. anonymous
    • one year ago
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    @mathmate you're my only hope

  10. anonymous
    • one year ago
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    @misssunshinexxoxo

  11. anonymous
    • one year ago
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    @mathmate what do you think?

  12. mathmate
    • one year ago
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    @HareshGopal Notice that the question says "based on the above statements". I interpret it as, "based on the above statements ONLY", then we know that with three \(angles\) equal it is an equilateral triangle (correct name is equiangular triangle) What morgan had was a triangle with three \(sides\) equal. So do you think we can drawa conclusion (based on the given statements ONLY? We know we can prove that an equiangular triangle is equilateral, but that is not given.

  13. anonymous
    • one year ago
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    I think it is b

  14. anonymous
    • one year ago
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    @mathmate

  15. mathmate
    • one year ago
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    Think of the question: Given statement: If I take a bus, I pay the fare. Morgan takes a taxi. \(Based~on~the~above~statements,\) 1. We cannot conclude that Morgan pays the fare. 2. We can conclude that Morgan pays the fare 3. We can conclude that Morgan has a lot of money. 4. We cannot conclude that Morgan has a lot of money. What would be your answer?

  16. anonymous
    • one year ago
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    none

  17. anonymous
    • one year ago
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    @mathmate

  18. mathmate
    • one year ago
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    What do you mean by none? No conclusion, or none of the choices?

  19. anonymous
    • one year ago
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    @mathmate no conclusion

  20. anonymous
    • one year ago
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    Oh I know @mathmate its a

  21. anonymous
    • one year ago
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    to your example question

  22. mathmate
    • one year ago
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    Can you now explain to me why it is a?

  23. anonymous
    • one year ago
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    since she didn't go in the bus

  24. mathmate
    • one year ago
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    Exactly. The law of detachment says: If the hypothesis is satisfied, the conclusion is true. However, if the hypothesis (getting in a bus) is not satisfied, we cannot draw the conclusion (pay the fare), EVEN though we know (from outside the problem) that he pays the fare.

  25. anonymous
    • one year ago
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    @mathmate so what about my question, am I correct?

  26. anonymous
    • one year ago
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    (B)

  27. mathmate
    • one year ago
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    Please prove the answer in words (not just the letter choice), and please reread the question carefully!

  28. anonymous
    • one year ago
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    This: It can be concluded that Morgan drew a closed figure having three congruent line segments joined end to end.

  29. anonymous
    • one year ago
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    @mathmate

  30. anonymous
    • one year ago
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    @mathmate ??????

  31. mathmate
    • one year ago
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    The first statement says: If a closed figure has three line segments joined end to end, it is a triangle. the hypothesis is "a closed figure has three line segments joined end to end" and the conclusion is "it is a triangle". By the law of detachment, IF the hypothesis is true, then the conclusion (it is a triangle) is true. The statement did not say that the converse is true. The converse is: If a figure is a triangle, then it is a closed figure has three line segments joined end to end So we cannot assume that this last statement is true. "Morgan constructed a triangle with all three sides congruent in the geometry class. " only tells us that Morgan constructed a triangle. Without the converse being true, we cannot conclude that: "Morgan drew a closed figure having three congruent line segments joined end to end" Therefore the statement It can be concluded that Morgan drew a closed figure having three congruent line segments joined end to end. is not logically true (unless the converse is true).

  32. anonymous
    • one year ago
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    Ahh so It's A?

  33. anonymous
    • one year ago
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    @mathmate

  34. anonymous
    • one year ago
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    @mathmate i it cannot be concluded that Morgan drew an equilateral triangle.

  35. pooja195
    • one year ago
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    @mathmate ...

  36. anonymous
    • one year ago
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    @pooja195 do you think its that

  37. pooja195
    • one year ago
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    im not good with this stuff ;-; sorry :(

  38. anonymous
    • one year ago
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    @mathmate

  39. mathmate
    • one year ago
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    @HareshGopal I would agree with that, because Morgan drew three equal sides, and not three equal angles.

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