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anonymous

  • one year ago

Several triangles are shown below with congruent sides, congruent angles and right angles shown. NEED HELP PLEASE!!! I WILL GIVE YOU A MEDAL IF YOU ANSWER.

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  1. anonymous
    • one year ago
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  2. mathstudent55
    • one year ago
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    What is a scalene triangle?

  3. anonymous
    • one year ago
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    A triangle that are unequal.

  4. anonymous
    • one year ago
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    kind of like this

  5. mathstudent55
    • one year ago
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    Yes, all sides have different lengths.

  6. anonymous
    • one year ago
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    |dw:1435628118651:dw|

  7. mathstudent55
    • one year ago
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    I think you can only conclude two sides are congruent if the figure shows it, right? For example in triangle ABC, we are shown that sides AB and BC are congruent.

  8. mathstudent55
    • one year ago
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    In triangle FED, we don't know that any sides are congruent.

  9. anonymous
    • one year ago
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    I got for A. QRT DEF, and GHI

  10. anonymous
    • one year ago
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    so it would only be QRT?

  11. mathstudent55
    • one year ago
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    |dw:1435628307134:dw|

  12. mathstudent55
    • one year ago
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    We only know about sides being congruent in the three triangles on the left. That means the three triangles on the right are scalene.

  13. mathstudent55
    • one year ago
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    |dw:1435628565788:dw|

  14. mathstudent55
    • one year ago
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    (a) Triangles FED, JKL, and QRT

  15. anonymous
    • one year ago
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    ok thanks

  16. mathstudent55
    • one year ago
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    Ok. Now isosceles. What is an isosceles triangle?

  17. anonymous
    • one year ago
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    |dw:1435628698681:dw|

  18. mathstudent55
    • one year ago
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    Can you explain it in words? What do you know about lengths of sides in an isosceles triangle?

  19. anonymous
    • one year ago
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    Umm, its kind of elongated in a way.

  20. mathstudent55
    • one year ago
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    Specifically, an isosceles triangle is a triangle that has at least two congruent sides.

  21. mathstudent55
    • one year ago
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    Examples of isosceles triangle. In each case, at least two sides are congruent. |dw:1435628860898:dw|

  22. mathstudent55
    • one year ago
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    If all sides are congruent, then it's a special case of an isosceles triangle that is also equilateral.

  23. mathstudent55
    • one year ago
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    Now look in the figure of your problem. Which triangles have at least two congruent sides?

  24. anonymous
    • one year ago
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    GHI, AND ABC

  25. mathstudent55
    • one year ago
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    |dw:1435628996774:dw|

  26. mathstudent55
    • one year ago
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    Also MNP

  27. mathstudent55
    • one year ago
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    (b) Triangles ABC, GHI, MNP

  28. anonymous
    • one year ago
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    But its right? how does it have same sides?

  29. mathstudent55
    • one year ago
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    You mean MNP?

  30. anonymous
    • one year ago
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    yes

  31. mathstudent55
    • one year ago
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    The figure with your problem shows little marks on the sides of triangle MNP . Those marks mean that those sides are congruent.

  32. anonymous
    • one year ago
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    oh ok thanks

  33. mathstudent55
    • one year ago
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    |dw:1435629184547:dw|

  34. mathstudent55
    • one year ago
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    Ok, next is (c). Which triangles are right triangles? A right triangle has one right angle.

  35. anonymous
    • one year ago
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    MNP AND DEF?

  36. mathstudent55
    • one year ago
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    |dw:1435629246793:dw|

  37. mathstudent55
    • one year ago
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    Correct. (c) Triangles EDF and MNP

  38. mathstudent55
    • one year ago
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    Now (d), equilateral triangles. An equilateral has all three sides congruent.

  39. anonymous
    • one year ago
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    ABC, JKL

  40. mathstudent55
    • one year ago
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    In triangle ABC, we only know sides AB and BC are congruent. That makes the triangle isosceles. To be equilateral, you need all sides congruent. The sides of triangle JKL have no marks on them at all. We don't know what their lengths are and if they are the same or different. Therefore, we cannot make any conclusions about the sides being congruent. Look at triangle GHI. The 2 marks on each side mean that all sides are congruent. Triangle GHI is equilateral.

  41. mathstudent55
    • one year ago
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    (d) Triangle GHI

  42. anonymous
    • one year ago
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    is there a difference betwen the lines on ABC and GHI

  43. anonymous
    • one year ago
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    ?

  44. mathstudent55
    • one year ago
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    In ABC, two sides have 1 mark each. That means those two sides are congruent. In GHI, each side has two marks each. That means all three sides are congruent, but different from the sides in ABC.

  45. anonymous
    • one year ago
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    aww ok

  46. mathstudent55
    • one year ago
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    On the other hand, since sides AB and BD have one mark each, and sides MN and NP also have one mark each, that means all 4 of those sides are congruent.

  47. mathstudent55
    • one year ago
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    Finally, we get to (e). Do you know what an obtuse triangle is?

  48. mathstudent55
    • one year ago
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    (Hint: think of a right triangle, but substitute obtuse for right.)

  49. anonymous
    • one year ago
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    yes it means that it's greater then 90 degrees.

  50. anonymous
    • one year ago
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    than

  51. mathstudent55
    • one year ago
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    Right triangle: \(\sf A ~\color{red}{right} ~triangle ~has ~one ~\color{red}{right} ~angle.\) Obtuse triangle: \(\sf A \color{green}{n~obtuse} ~triangle ~has ~one ~\color{green}{obtuse} ~angle.\)

  52. mathstudent55
    • one year ago
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    Correct. Which triangles have one angle of more than 90 degrees?

  53. anonymous
    • one year ago
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    QRT

  54. mathstudent55
    • one year ago
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    Correct, but I think that JKL also has an obtuse angle. |dw:1435630158625:dw|

  55. mathstudent55
    • one year ago
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    (e) Triangles JKL and QRT

  56. anonymous
    • one year ago
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    oh ok

  57. anonymous
    • one year ago
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    Thank you so much for all the help I needed it!

  58. mathstudent55
    • one year ago
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    You are welcome.

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