Question

Are the following triangles similar? Why or why not?

https://s.yimg.com/hd/answers/i/3407d72eb6c1452288c3c187bae6a057_A.jpeg?a=answers&mr=0&x=1402883635&s=53a7126ef577a108947dd65083b28c06

Answer 1

for the triangles to be similar, the corresponding sides must be in the same proportion.

that means the ratio between the sides must be the same.
we have 12/16 = 3/4 does this ratio repeat throughout the two other sides? If so then you have similarity by SSS, if not well then you have the reason.

Answer 2

to find the ratio for the other two sides.. you just divide them in the same way, taking the corresponding sides from one triangle and dividing them into the other to see what result we get.

Answer 3

in this case we went from left triangle to right triangle.. so make sure you go from left to right with the other two divides..

Answer 4

oops

Answer 5

lol.. okay had another look its 12 : 18

Answer 6

so 12/18 = 2/3
then go around the triangle and work out the other sides..

Answer 7

okay & did u divide 12/18?

Answer 8

you can..
and then do the same for the other two sides.. what do you get ?

Answer 9

For 12/18 i got 2/3. With 22/28 i got 11/14 & for the last one I got 2/3

Answer 10

so looks like you have SS but not SSS

so that would mean you are not similar

do you know what I mean by SSS ?

Answer 11

SSS means Side Side & Side

Answer 12

correct so there's your answer...

the triangle are not similar because all three sides are not in proportion and so fail the test for SSS similarity.

Answer 13

and then just show your work

Answer 14

so the two triangles are not similar but they are in sss

Answer 15

they are not similar because they are NOT in SSS they have only side-side and the 3rd side is out of ratio at 11/14

Answer 16

to be sss all three sides must have the same ratio so they would all be = to 2/3 but they are not.

Answer 17

i got it & can you explain to me what proportions means?

Answer 18

in proprotion is another way of saying 'they have the same ratio'

or the same scale..

Answer 19

so if two objects both double in size, they are said to share the same 'proportions'

Answer 20

ok i get it & what if one triangle is smaller & the other one is big?

Answer 21

as long as the ratio of all three sides are tested, it wont matter what size either triangle is. and as long as you test in the same way for each side from one triangle to the other, it wont matter which size triangle you start with.

Answer 22

ok i understand & do you mind helping me with another question?

Answer 23

I cant right now, sorry I have to go... maybe later,

Answer 24

okay & cool