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

- anonymous

- schrodinger

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- 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

##### 1 Attachment

- 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

Is the answer the second one? ΔUVW ~ ΔWUT ~ ΔWVT?

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## More answers

- mathstudent55

No.
Can you answer my question above?

- anonymous

Well, I was kind of confused, because there are three right angles. So it is either TWV or TUW, or VUW

- anonymous

So I guess that means the answer would be the last one, right? Gosh I'm really bad at geometry, I apologize

- mathstudent55

For the left right triangle, which vertex is the right angle?

- anonymous

U. The left triangle as in triangle TUW?

- mathstudent55

correct.
Now for the right triangle, UVW, which vertex is the right angle?

- anonymous

U, again.

- mathstudent55

right.
Finally, for the large right triangle VTW, which is the right angle?

- anonymous

W.

- 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

W?

- mathstudent55

In tr. UVW small leg is UV, hypotenuse is VW. Which is vertex of small leg and hypotenuse?

- anonymous

Oh, so V.

- mathstudent55

Right.
In tr. UWT, which is vertex of small leg & hypotenuse?

- anonymous

W.

- mathstudent55

Right.
In tr. VTW, which is vertex of small leg & hypotenuse?

- anonymous

V.

- mathstudent55

Good.

- mathstudent55

This is what we have so far.
|dw:1359701750932:dw|

- 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

I need to fix one. The next pic will be correct.

- mathstudent55

|dw:1359702158900:dw|

- anonymous

UVW, UWT, WVT

- mathstudent55

Now you can read the triangles vertically.
|dw:1359702298534:dw|

- mathstudent55

Correct

- 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

Keep trying and ask questions whenever you need help. This is how you learn.
You're welcome.

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