anonymous
  • anonymous
What similarity statement can you write relating the three triangles in the diagram below? (1 point) ΔUVW ~ ΔUWT ~ ΔWVT ΔUVW ~ ΔWUT ~ ΔWVT ΔWUT ~ ΔVUW ~ ΔWVT ΔTWV ~ ΔWUV ~ ΔUWT
Mathematics
schrodinger
  • schrodinger
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anonymous
  • anonymous
1. What similarity statement can you write relating the three triangles in the diagram below? (1 point) ΔUVW ~ ΔUWT ~ ΔWVT ΔUVW ~ ΔWUT ~ ΔWVT ΔWUT ~ ΔVUW ~ ΔWVT ΔTWV ~ ΔWUV ~ ΔUWT
mathstudent55
  • mathstudent55
You have three triangles. A small right triangle on the right UVW, and a medium size right triangle on the left UTW and large right triangle TVW, First, match the corresponding angles of the triangles. In the order left triangle, right triangle, large triangle, what are the vertices that are the right angle?
anonymous
  • anonymous
Is the answer the second one? ΔUVW ~ ΔWUT ~ ΔWVT?

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mathstudent55
  • mathstudent55
No. Can you answer my question above?
anonymous
  • anonymous
Well, I was kind of confused, because there are three right angles. So it is either TWV or TUW, or VUW
anonymous
  • anonymous
So I guess that means the answer would be the last one, right? Gosh I'm really bad at geometry, I apologize
mathstudent55
  • mathstudent55
For the left right triangle, which vertex is the right angle?
anonymous
  • anonymous
U. The left triangle as in triangle TUW?
mathstudent55
  • mathstudent55
correct. Now for the right triangle, UVW, which vertex is the right angle?
anonymous
  • anonymous
U, again.
mathstudent55
  • mathstudent55
right. Finally, for the large right triangle VTW, which is the right angle?
anonymous
  • anonymous
W.
mathstudent55
  • mathstudent55
Good. Now let's do the same for another angle of the three triangles. Answer these three questions. For triangle UVW, which is vertex of small leg & hypotenuse?
anonymous
  • anonymous
W?
mathstudent55
  • mathstudent55
In tr. UVW small leg is UV, hypotenuse is VW. Which is vertex of small leg and hypotenuse?
anonymous
  • anonymous
Oh, so V.
mathstudent55
  • mathstudent55
Right. In tr. UWT, which is vertex of small leg & hypotenuse?
anonymous
  • anonymous
W.
mathstudent55
  • mathstudent55
Right. In tr. VTW, which is vertex of small leg & hypotenuse?
anonymous
  • anonymous
V.
mathstudent55
  • mathstudent55
Good.
mathstudent55
  • mathstudent55
This is what we have so far. |dw:1359701750932:dw|
mathstudent55
  • mathstudent55
The next series of three questions is which is the vertex of the long leg & hypotenuse for each triangle. I already filled in the info. |dw:1359701955366:dw|
mathstudent55
  • mathstudent55
I need to fix one. The next pic will be correct.
mathstudent55
  • mathstudent55
|dw:1359702158900:dw|
anonymous
  • anonymous
UVW, UWT, WVT
mathstudent55
  • mathstudent55
Now you can read the triangles vertically. |dw:1359702298534:dw|
mathstudent55
  • mathstudent55
Correct
anonymous
  • anonymous
Fantastic! Thank you so much for all your help, sorry that I'm kinda dumb when it comes to geometry. Math is NOT my subject!
mathstudent55
  • mathstudent55
Keep trying and ask questions whenever you need help. This is how you learn. You're welcome.

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