Question

Determine whether the triangles are similar. If so, identify the postulate or theorem that proves they are similar.

-The triangles are not similar.
- ABC ~ XYZ; SSS Similarity Theorem
- ABC ~ XYZ; SAS Similarity Theorem
- ABC ~ XYZ; AA Similarity Postulate

Answer 1

the picture is blurry

Answer 2

pretty sure they are similar.. can't really see your pic too well, but it looks as if the left triangle is isosceles, and so it the right

therefore, with a bit of manipulation you could make either triangle into one another without changing the triangle itself (they are similar)

not sure on what theorem is used, but i'm thinking

- ABC ~ XYZ; SAS Similarity Theorem

??

Answer 3

did you click on it

Answer 4

I'm thinking the AA since we can see that two angles are the same.....If we try to solve for the last angle we will see that it will result in all angles being the same for both triangles. This means that they are similar. It can also mean that they are congruent but we don't have enough information for that.

Answer 5

I think all the other theorems are used to find if the triangles are congruent not similar so I think the:

- ABC ~ XYZ; AA Similarity Postulate

Fits perfectly

Answer 6

@adorableme What do you think? Can we have your input in this?

Answer 7

idk thats why i put it up here in i had picked ABC ~ XYZ; AA Similarity Postulate

Answer 8

@Romero , if all angles are the same for both triangles (i.e., A = X, B = Y, C = Z), then there is no point in proving similarity cause they must be the same triangle.

unless that was the point? >_>

Answer 9

well yes that's the point but this is geometry and I remember teachers being very picky with words.

Similar is not the same as congruent. and in this case we can show that triangles are similar with AA but I remember back that I couldn't say that they were the same in the sense of congruence meaning that the sides could be different lengths but the triangle would still be similar.

Answer 10

We can say the triangles are the same but we can't say the triangles are congruent.

Answer 11

so wats your answer

Answer 12

Well @adorableme I think you were right all along. it should be AA.

Answer 13

yeaaaaaaaa lol

Answer 14

Next time you post a question try to post what the answer is first....this makes it easier for us to explain to you....

Answer 15

But still good job!

Answer 16

okay thanks

Answer 17

im going to put the other tringle up

Answer 18

@Romero just for the sake of argument, if A = X, B = Y, C = Z (aka, if the triangles angles are equal to each other), then the sides must be also. It's not possible to create a triangle with fixed angles and varying side lengths.

Therefore, the triangles must be the same triangle.

Answer 19

it's similar but congruent.


Same thought when you create a circle....all circles need 360 degrees but circles can be small and big..

Answer 20

similar but not congruent *