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alainabbyboo22

  • 3 years ago

What one additional piece of information would prove ΔTSU ~ ΔHGI? A. T @ H B. U @ I C. GI is twice the length of SU. D. Any of these would be sufficient to prove the triangles similar.

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  1. alainabbyboo22
    • 3 years ago
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  2. ganeshie8
    • 3 years ago
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    A. T \(\cong\) H right ?

  3. ganeshie8
    • 3 years ago
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    is that congruence symbol which you wrote as @

  4. alainabbyboo22
    • 3 years ago
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    there is supposed to be an undefined symbol in front of T and H in A. and an undefined symbol in front of U and I in B.

  5. alainabbyboo22
    • 3 years ago
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    the @ symbols are just itself on its own , nothing else added to those .

  6. ganeshie8
    • 3 years ago
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    very well, you familiar with ASA, AAS, SAS similarity postulates ?

  7. ganeshie8
    • 3 years ago
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    according to them, any of the given A, B or C is sufficient to prove triangles are similar, refer these postulates, and see how these can be applied here

  8. alainabbyboo22
    • 3 years ago
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    i never really understood the similarity postulates . can you help me out ? @ganeshie8

  9. ganeshie8
    • 3 years ago
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    sure :) we have below postulates 1) AA similarity 2) SSS similarity 3) SAS similarity 4) AAS similarity

  10. ganeshie8
    • 3 years ago
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    il explain u one, rest of the 3 will make sense to u immediatly ok

  11. ganeshie8
    • 3 years ago
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    first, let me ask u a question, what these postulates say in general ?

  12. alainabbyboo22
    • 3 years ago
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    hm .. that they're similar ? idk ..

  13. ganeshie8
    • 3 years ago
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    what are similar ?

  14. ganeshie8
    • 3 years ago
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    each of the postulate tells us "how to figure out if two triangles are similar"

  15. ganeshie8
    • 3 years ago
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    for example, il draw two triangles, if i ask u to figure out if they are similar or not, what you will u do ?

  16. ganeshie8
    • 3 years ago
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    |dw:1348764410062:dw|

  17. ganeshie8
    • 3 years ago
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    are the two triangles similar ?

  18. alainabbyboo22
    • 3 years ago
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    yes because the triangles are the same shape but different sizes so it would be SSS similarity ?

  19. ganeshie8
    • 3 years ago
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    Perfect ! you knew it already ! its SSS similarity postulate coz, the ratio of sides is constant. 2/1 = 2/1 = 2/1 = 2

  20. ganeshie8
    • 3 years ago
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    since all 3 SIDES of first trianlge are proportional to all 3 SIDES of second triangle, the two triangles are simiular by SSS similarity postulate

  21. ganeshie8
    • 3 years ago
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    SSS you understood already, so lets move on to something else

  22. alainabbyboo22
    • 3 years ago
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    i see now !! okay now i need to figure out this problem i posted .

  23. ganeshie8
    • 3 years ago
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    pick one more in the list above, lets close this first before moving to the problem u posted :)

  24. alainabbyboo22
    • 3 years ago
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    oh this is the problem that i am talking about ! the one above !

  25. ganeshie8
    • 3 years ago
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    or else, il pick one, you explain me what it is ok

  26. ganeshie8
    • 3 years ago
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    im talking about the similarity postulates, that i listed above

  27. ganeshie8
    • 3 years ago
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    could u explain what this says : 3) SAS similarity

  28. ganeshie8
    • 3 years ago
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    this postulate we can use in the present problem if u understand it

  29. alainabbyboo22
    • 3 years ago
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    similar angle ?

  30. ganeshie8
    • 3 years ago
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    thats right !

  31. ganeshie8
    • 3 years ago
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    for the present problem ive already answered u. its D

  32. ganeshie8
    • 3 years ago
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    why D ? you figure out ;)

  33. alainabbyboo22
    • 3 years ago
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    ohhhhh ! i see it now ! thank you for clearing everything up for me (: i really do appreciate it !

  34. ganeshie8
    • 3 years ago
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    np :) these things take some practice before we actually GET them... good luck :)

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