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anonymous

  • one year ago

Challenge! Ready? Are the polygons similar? If they are, write a similarity statement and give the scale factor. The figure is not drawn to scale.

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  1. anonymous
    • one year ago
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  2. anonymous
    • one year ago
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    If they are, tell me the reason why. Hint, what sides go together? What ratio?

  3. anonymous
    • one year ago
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    That is the key to knowing ;)

  4. triciaal
    • one year ago
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    do you see any angles that are the same?

  5. triciaal
    • one year ago
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    are the corresponding sides in the same ratio?

  6. mathstudent55
    • one year ago
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    Polygons are similar if the following two conditions are met: 1. All angles of one polygon are congruent to the corresponding angles of the other polygon. 2. All pairs of corresponding sides have the same ratio of lengths.

  7. mathstudent55
    • one year ago
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    If you can meet those conditions they are similar.

  8. anonymous
    • one year ago
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    Indeed.

  9. anonymous
    • one year ago
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    Whoever gets the answer will win~!

  10. mathstudent55
    • one year ago
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    Look at the polygons. One has sides 6, 6, 2.8, 2.8 The other has sides 4.5, 4.5, 2.1, 2.1 Since in each polygon, each pair of opposite sides is congruent, both polygons are parallelograms.

  11. anonymous
    • one year ago
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    mhm

  12. anonymous
    • one year ago
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    Agreed

  13. mathstudent55
    • one year ago
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    In a parallelogram, opposite angles are congruent. That means each polygon has opposite angles measuring 110 degrees and another pair of opposite angles measuring 70. That means the corresponding congruent angles are present.

  14. anonymous
    • one year ago
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    You are correct about the decimals!

  15. anonymous
    • one year ago
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    What sides go together?

  16. mathstudent55
    • one year ago
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    Since you agree, and it seems you really know about this, I'll let you finish.

  17. anonymous
    • one year ago
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    Hopefully no one says the answer before you

  18. mathstudent55
    • one year ago
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    I'm hoping you tell me the answer. I'd like to hear it from you.

  19. anonymous
    • one year ago
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    Why would I tell? It is a challenge

  20. anonymous
    • one year ago
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    Whoever answers correctly wins the medal

  21. anonymous
    • one year ago
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    You got it right so far

  22. anonymous
    • one year ago
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    Begins with T

  23. anonymous
    • one year ago
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    another hint....after that is U

  24. anonymous
    • one year ago
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    Who will get it?

  25. mathstudent55
    • one year ago
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    No more hints?

  26. anonymous
    • one year ago
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    You need more professor?

  27. triciaal
    • one year ago
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    don't need a medal. you already know they are similar. DGE = VTU

  28. anonymous
    • one year ago
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    That is not it.

  29. anonymous
    • one year ago
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    Here: The first four are TUWV=??

  30. anonymous
    • one year ago
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    What is congruent to those?

  31. triciaal
    • one year ago
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    scale factor 3/4

  32. anonymous
    • one year ago
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    What is congruent to those? Thats all that needs to be solved, too bad that professor is not here

  33. triciaal
    • one year ago
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    defg

  34. anonymous
    • one year ago
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    That is correct. But since you are different person; actually. You also have to tell me the decimals

  35. anonymous
    • one year ago
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    /ratio

  36. anonymous
    • one year ago
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    Ignore this

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  37. anonymous
    • one year ago
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    Anyone??

  38. anonymous
    • one year ago
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    wb mathstudent, looks like you are going to be the winner

  39. mathstudent55
    • one year ago
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    To finish, you must look at the ratios of the lengths of the sides: \(\dfrac{6}{4.5} = \dfrac{4}{3} \) \(\dfrac{2.8}{2.1} = \dfrac{4}{3} \) The ratios of the corresponding sides are equal, so the quadrilaterals are similar. Now we need to write the correct statement of similarity.

  40. mathstudent55
    • one year ago
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    quadrilateral TUWV ~ quadrilateral DEFG

  41. anonymous
    • one year ago
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    Correct

  42. mathstudent55
    • one year ago
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    thanks

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