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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- anonymous

##### 1 Attachment

- ganeshie8

A. T \(\cong\) H
right ?

- ganeshie8

is that congruence symbol which you wrote as @

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## More answers

- anonymous

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.

- anonymous

the @ symbols are just itself on its own , nothing else added to those .

- ganeshie8

very well,
you familiar with ASA, AAS, SAS similarity postulates ?

- ganeshie8

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

- anonymous

i never really understood the similarity postulates . can you help me out ? @ganeshie8

- ganeshie8

sure :)
we have below postulates
1) AA similarity
2) SSS similarity
3) SAS similarity
4) AAS similarity

- ganeshie8

il explain u one, rest of the 3 will make sense to u immediatly ok

- ganeshie8

first, let me ask u a question, what these postulates say in general ?

- anonymous

hm .. that they're similar ? idk ..

- ganeshie8

what are similar ?

- ganeshie8

each of the postulate tells us "how to figure out if two triangles are similar"

- ganeshie8

for example, il draw two triangles, if i ask u to figure out if they are similar or not, what you will u do ?

- ganeshie8

|dw:1348764410062:dw|

- ganeshie8

are the two triangles similar ?

- anonymous

yes because the triangles are the same shape but different sizes so it would be SSS similarity ?

- ganeshie8

Perfect ! you knew it already !
its SSS similarity postulate coz, the ratio of sides is constant.
2/1 = 2/1 = 2/1 = 2

- ganeshie8

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

- ganeshie8

SSS you understood already, so lets move on to something else

- anonymous

i see now !! okay now i need to figure out this problem i posted .

- ganeshie8

pick one more in the list above, lets close this first before moving to the problem u posted :)

- anonymous

oh this is the problem that i am talking about ! the one above !

- ganeshie8

or else, il pick one, you explain me what it is ok

- ganeshie8

im talking about the similarity postulates, that i listed above

- ganeshie8

could u explain what this says :
3) SAS similarity

- ganeshie8

this postulate we can use in the present problem if u understand it

- anonymous

similar angle ?

- ganeshie8

thats right !

- ganeshie8

for the present problem ive already answered u. its D

- ganeshie8

why D ? you figure out ;)

- anonymous

ohhhhh ! i see it now ! thank you for clearing everything up for me (:
i really do appreciate it !

- ganeshie8

np :) these things take some practice before we actually GET them... good luck :)

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