Question

I have to identify the postulate or theorem that proves the triangles congruent.
I've been looking at some examples online, and I'm still very confused. Could someone kindly explain to me, so I can understand better?
(Image(s) posted below.)

Answer 1

probably SAS , SSS, or ASA

Answer 2

congruent also means equivalent. . .

Answer 3

Yeah I know, but when I look at the website, and look at the examples, I still don't quite understand. (I'm about to post another photo.)

Answer 4

I think there's a theorem some where about angles and sides being congruent like SAS? Let me check

Answer 5

The Side Angle Side postulate (often abbreviated as SAS) states that if two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then these two triangles are congruent.

Answer 6

Look at what you are "given" in one of the triangles, the "marked" angles and sides
what is marked in one of the triangles?

Answer 7

ok hint: SSA theorem doesn't exist.. try typing SSA backwards. (sorry mod but it's kind of funny xD)

Answer 8

I've been looking at the definitions, but determining which of the terms goes with it is difficult for me.

Answer 9

Look at what you are "given" in one of the triangles, the "marked" angles and sides
what is marked in one of the triangles?

Answer 10

the angle is marked, right?

Answer 11

keep going. Yes, and little ) or )) near the angle means it matches that other triangle's ) or ))

Answer 12

So... would it be SAS?

Answer 13

How many angles are marked in one of the triangles?

Answer 14

That's not even an option on there, lol. Nvm. & two of them?

Answer 15

yes, two angles are marked (and they match the two angles in the other triangle that are marked)

so you should start by thinking AA something

next, what about the sides? are any "marked" ?

Answer 16

im just gonna listen and learn

Answer 17

None of the sides are marked

Answer 18

First, one of the sides looks bold

Answer 19

hmm I see the angles... there could be one side ?

Answer 20

Second, one line is a "side" in both triangles ,

Answer 21

Even if it's not marked?

Answer 22

So, it's going to be AAS?

Answer 23

I think the "bold" means it is marked. but even if it were not, I would say that side is congruent in both triangles.
so AAS

Answer 24

I'm assuming that the triangles when they're together, they share the same side?

Answer 25

so we have 2 angles and a side. AAS . yup that works

Answer 26

I didn't send anything inappropriate to you @DaBest21. I said in the message to show some respect before I blocked you.

Answer 27

The way you know it is not ASA is
A S A means angle , then a side , then an angle.
your picture shows
angle, angle , side (if you start at the correct angle)

Answer 28

about what i just said where the chat was

Answer 29

Thank you for you time, @phi . Your help was greatly appreciated.

Answer 30

Can you two please take this elsewhere I',m trying to learn.

Answer 31

Ugh whatever

Answer 32

no. You were being rude me by assuming that I didn't know where the chat is and I already do . So stop going into other people's questions. I said learn some respect. There is nothing inappropriate about it @Dabest21

Answer 33

i thought u didnt know u said they should have a general chat

Answer 34

yeah they should have a general chat subject area in addition to the chat box in the math section .

Answer 35

oh sorry i just misunderstood i didnt mean to start a fight

Answer 36

I just got a warning from a mod for something I didn't do. I'm about to quit openstudy.

Answer 37

oh :(

Answer 38

dont what was it about

Answer 39

the warning claimed that I've done the off topic question which I didn't in the first place. I'm being wrongly accused here.

Answer 40

oh thats wierd

Answer 41

that wasn't me who did that. :/

Answer 42

well srry about before

Answer 43

same here... but I hate openstudy now for what just happened. I'm being wrong accused.
:*(

Answer 44

*wrongly accused. after all I did for them.

Answer 45

that happened to me once it said i was spamming the chat when i didnt know they had a chat

Answer 46

trying to enforce the rules in here... helping others... some people even want me to apply for ambi and qh. And they did this to me?

Answer 47

Openstudy just stabbed me in the back!

Answer 48

:*(

Answer 49

I don't care if I reach 90 SS now.

Answer 50

just keep going its just one warning right?

Answer 51

I don't care...

Answer 52

i mean i dont know if it affects anything

Answer 53

I really don't care. . . OpenStudy stabbed me in the back... I'm super upset.

Answer 54

well im srry and im gonna go do more questions so just send me a message if u need anything