Question

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.

Answer 1

A. T \(\cong\) H

right ?

Answer 2

is that congruence symbol which you wrote as @

Answer 3

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.

Answer 4

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

Answer 5

very well,

you familiar with ASA, AAS, SAS similarity postulates ?

Answer 6

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

Answer 7

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

Answer 8

sure :)

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

Answer 9

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

Answer 10

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

Answer 11

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

Answer 12

what are similar ?

Answer 13

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

Answer 14

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

Answer 15

are the two triangles similar ?

Answer 16

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

Answer 17

Perfect ! you knew it already !

its SSS similarity postulate coz, the ratio of sides is constant.

2/1 = 2/1 = 2/1 = 2

Answer 18

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

Answer 19

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

Answer 20

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

Answer 21

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

Answer 22

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

Answer 23

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

Answer 24

im talking about the similarity postulates, that i listed above

Answer 25

could u explain what this says :
3) SAS similarity