Question

Challenge! Ready? What similarity statement can you write relating the three triangles in the diagram?
http://assets.openstudy.com/updates/attachments/55add702e4b071e6530cdb57-lollygirl217-1437458025655-as.jpg

Answer 1

This one is really easy~~

Answer 2

In a right triangle, when the altitude is drawn to the hypotenuse, the three triangles formed are similar.

Answer 3

Indeed.

Answer 4

Ignore this

Answer 5

anyone?

Answer 6

triangle ABC ~ triangle ADB ~ triangle BDC

Answer 7

That is not right

Answer 8

There are 6 correct ways of writing a similarity statement between two triangles.
I wrote one that is correct. There are 5 more correct ones. Just because mine is not the one you expected, it does not mean it's incorrect.

Answer 9

True; but it has to be the one that I posted. Did you look at my shape?

Answer 10

It has to relate to those letters

Answer 11

You are missing the point.
With any two given similar triangles, you can write the similarity statement 6 different ways, and they are all correct. The similarity statement I wrote is correct for the figure you posted in the problem. There are 5 more that are also correct.
I wrote a similarity statement relating the three triangles as the problem above asked for. I didn't use x or y or the numbers because that is for a proportion of side lengths. That is not what the problem asks for.

Answer 12

There is one answer and that is not it; that's all I have to say.

Answer 13

IGH = HGF=IHF
= means similar

Answer 14

That is not in the right order

Answer 15

what @mathstudent55 has is correct.

Answer 16

the question is not specific enough if you are expecting one particular answer.

Answer 17

I am expecting one.

Answer 18

do you want the values of x and y?

Answer 19

What he is saying is correct so far

Answer 20

No. What sides are congruent to one another?

Answer 21

What similarity statement can you write relating the three triangles in the diagram?

Answer 22

It really isn't that hard. It's either going to begin with GHF or HIF

Answer 23

or GFH

Answer 24

Oh, I see. I used the triangles in the other figure.
Why did you post a figure that is not part of this problem?

Answer 25

I am going to use that for a different question.....I did say to ignore it on top of the pic. Sorry if that threw you off

Answer 26

Ok, for the figure with triangle FHI, etc. this is the similarity statement:

triangle FHI ~ triangle FGH ~ triangle HGI

Answer 27

Of course, that is one of 6 possible correct similarity statements.

Answer 28

And there is one correct answer for this.

Answer 29

No, there are 6 correct answers.

Answer 30

I get what you are saying but there is one that I am looking for.

Answer 31

GHF ~ GIH ~ HIF

Answer 32

Correct!

Answer 33

Wow, I feel so honored that you approve.
Thanks, and thanks for the medal.

Answer 34

No prob!