## alainabbyboo22 3 years ago 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.

1. alainabbyboo22

2. ganeshie8

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

3. ganeshie8

is that congruence symbol which you wrote as @

4. alainabbyboo22

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.

5. alainabbyboo22

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

6. ganeshie8

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

7. 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

8. alainabbyboo22

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

9. ganeshie8

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

10. ganeshie8

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

11. ganeshie8

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

12. alainabbyboo22

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

13. ganeshie8

what are similar ?

14. ganeshie8

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

15. 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 ?

16. ganeshie8

|dw:1348764410062:dw|

17. ganeshie8

are the two triangles similar ?

18. alainabbyboo22

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

19. ganeshie8

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

20. 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

21. ganeshie8

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

22. alainabbyboo22

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

23. ganeshie8

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

24. alainabbyboo22

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

25. ganeshie8

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

26. ganeshie8

im talking about the similarity postulates, that i listed above

27. ganeshie8

could u explain what this says : 3) SAS similarity

28. ganeshie8

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

29. alainabbyboo22

similar angle ?

30. ganeshie8

thats right !

31. ganeshie8

32. ganeshie8

why D ? you figure out ;)

33. alainabbyboo22

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

34. ganeshie8

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