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need_help! Group Title

In triangle PQR, < PQR is right and QT is an altitude Name the three similar triangles. How do you name them?! O.o idk but I got : triangle PQT is similar to triangle PRQ triangle TQR is similar to triangle QPR triangle PQT is similar to triangle QPT ?

  • 2 years ago
  • 2 years ago

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  1. Mertsj Group Title
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    Need a posting that we can understand.

    • 2 years ago
  2. need_help! Group Title
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    Do you want me to draw it ?

    • 2 years ago
  3. Mertsj Group Title
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    yep

    • 2 years ago
  4. need_help! Group Title
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    Okay, I'll try.

    • 2 years ago
  5. need_help! Group Title
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    |dw:1329752026742:dw|

    • 2 years ago
  6. Directrix Group Title
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    Should be a right angle at T ??

    • 2 years ago
  7. Mertsj Group Title
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    Separate the triangles and draw them all in similar position.

    • 2 years ago
  8. need_help! Group Title
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    yes @ directrix

    • 2 years ago
  9. need_help! Group Title
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    |dw:1329752295176:dw|

    • 2 years ago
  10. Directrix Group Title
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    If an altitude is drawn to the hypotenuse of a right triangle, the two triangles formed are similar to each other and to the given right triangle.

    • 2 years ago
  11. Directrix Group Title
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    Triangle PQR ~ Triangle QTR ~ Triangle PTQ

    • 2 years ago
  12. need_help! Group Title
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    So, is this correct? triangle PQT is similar to triangle PRQ triangle TQR is similar to triangle QPR triangle PQT is similar to triangle QPT

    • 2 years ago
  13. Mertsj Group Title
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    |dw:1329752679773:dw|

    • 2 years ago
  14. Mertsj Group Title
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    Directrix is correct.

    • 2 years ago
  15. Directrix Group Title
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    Match up right angles of all 3. Of the larger and one smaller, then match up angles they share. The 3rd pair of vertices have no place to go but to each other.

    • 2 years ago
  16. Directrix Group Title
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    @ Mert --> Right angle at T on drawing or the theorem is not valid.

    • 2 years ago
  17. need_help! Group Title
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    Wait, can you just PLEASE tell me if what I did is correct or wrong ?

    • 2 years ago
  18. need_help! Group Title
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    I think

    • 2 years ago
  19. Directrix Group Title
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    @Fool --> Valid for all right triangles satisfying the hypothesis of the theorem I wrote somewhere up this thread.

    • 2 years ago
  20. Directrix Group Title
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    triangle PQT is similar to triangle QPT --> This third section of Help's answer seems to name the same two triangles. Look at that again, Help.

    • 2 years ago
  21. phi Group Title
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    @need triangle PQT is similar to triangle QPT . this is the same triangle. The 3 are PQR, QTR, PTQ (note that you should order the vertices to show what angles (sides) are congruent)

    • 2 years ago
  22. need_help! Group Title
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    I know, I need them to be separate.. like what I did..

    • 2 years ago
  23. phi Group Title
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    *similar (not congruent!)

    • 2 years ago
  24. FoolForMath Group Title
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    So, apparently, \( \angle TQR = \angle TPQ \) hence the correspondence

    • 2 years ago
  25. phi Group Title
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    there are only 3 angles: 90, A, and (90-A), so it is easy to show similarity of triangles

    • 2 years ago
  26. phi Group Title
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    Name the three similar triangles. means write down triangle PQR, triangle QTR, triangle PTQ

    • 2 years ago
  27. need_help! Group Title
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    Yeah, kinda.. I understand how you name the big triangle with one of the small triangles but what is I dont get or don't how is how to name the small triangle with the other small triangle? & this is => triangle PQT is similar to triangle QPT wrong?

    • 2 years ago
  28. Directrix Group Title
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    Be systematic. It's easy to get confused on these. Start with the original triangle. Call it what you like. You called it PRQ, I think. State the similarity of PRQ to one of the smaller triangles, say PQT. First, match the right angles from larger triangle to smaller. Q has to match to T. They share angle P so P has to match to P. That forces R of the larger triangle to Q of the smaller. Result : Triangle PRQ ~ Triangle PQT Next, match Triangle PRQ to the other triangle keeping the same order of letters, PRQ. Then, the two smaller triangle will be similar to each other by the transitive property.

    • 2 years ago
  29. need_help! Group Title
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    Aooh! So, what I did is correct?! :D

    • 2 years ago
  30. phi Group Title
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    you name a triangle by listing its vertices.

    • 2 years ago
  31. need_help! Group Title
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    really? -.- what is triangle PQT similar to?

    • 2 years ago
  32. phi Group Title
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    what is triangle PQT similar to? triangle PRQ and triangle QTR

    • 2 years ago
  33. need_help! Group Title
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    Why not PRQ with QRT ?

    • 2 years ago
  34. need_help! Group Title
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    or same thing?

    • 2 years ago
  35. phi Group Title
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    triangle QTR is the same as QRT. (same points). But if I did it write, when we ask what is triangle PQT similar to, the P corresponds to Q, the Q to T, and the T to R

    • 2 years ago
  36. phi Group Title
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    *write -> right i.e. correctly

    • 2 years ago
  37. Directrix Group Title
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    I was trying to teach you how to do this but so many people have posted so much stuff that I have lost track. This is the way I do these problems: Be systematic. It's easy to get confused on these. Start with the original triangle. Call it what you like. You called it PRQ, I think. State the similarity of PRQ to one of the smaller triangles, say PQT. First, match the right angles from larger triangle to smaller. Q has to match to T. They share angle P so P has to match to P. That forces R of the larger triangle to Q of the smaller. Result : Triangle PRQ ~ Triangle PQT Next, match Triangle PRQ to the other triangle keeping the same order of letters, PRQ. Then, the two smaller triangle will be similar to each other by the transitive property. That does not mean what you did is incorrect. As best I remember, yours were correct except for the third pair of triangles in which you listed the same triangle twice.

    • 2 years ago
  38. need_help! Group Title
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    Man! This is confusing -.- but I think I get it now.. thanks to you guys!! =D I saw where I went wrong in the last one. Thank you =))

    • 2 years ago
  39. phi Group Title
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    Labeling the angles helps. but you are right, it can get confusing

    • 2 years ago
  40. need_help! Group Title
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    Oh yeah!! i remembered something just don't know if it's right or wrong..

    • 2 years ago
  41. need_help! Group Title
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    |dw:1329758666185:dw|

    • 2 years ago
  42. phi Group Title
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    |dw:1329758695491:dw|

    • 2 years ago
  43. need_help! Group Title
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    sorry, the computer just froze! I was saying that these two angles are always congruent?

    • 2 years ago
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