Question

Select the answer that has the steps in correct order to prove the following using indirect proof. Given: m∠PQR ≠ m∠RQS
Prove: –→QR does not bisect ∠PQS

Answer 1

How far did you get with this? Were you able to understand what they meant by an indirect proof?

Answer 2

No I have no idea what they mean I'm just trying to get through

Answer 3

Well, you know what a proof is at least?

Answer 4

Yeah

Answer 5

In a direct proof, you go through the steps and tada it all matches at the end. In an indirect proof, you go through all the stems and then, OOPS! this is not that case and therefore it is true that this is NOT that.

Answer 6

Oh

Answer 7

So think about that order:

This is true!
These are the steps to prove that.
Hey! This is NOT that!
Therefore, it is TRUE that this is NOT that!

Which of your answers follows that indirect form?

Answer 8

The top left one?

Answer 9

Close... that is one of two that people might think are right. However, there is an issue. It goes from this is true to this is not true, then it does the steps to prove it is true. See how that is not quite the correct order?

Answer 10

Is the contradiction whats wrong?

Answer 11

The order. You are looking for:
This is true!
These are the steps to prove that.
Hey! This is NOT that!
Therefore, it is TRUE that this is NOT that!

And in this problem, "Hey! This is NOT that!" is "Contadiction of \(m\measuredangle PQR\ne m\measuredangle RQS \)"

Answer 12

That is because of the meaning of the word contradiction. They use the simple meaning here. If I contradict you, I am saying you are wrong. In this math problem, the contradiction is saying, "This is wrong," or "This is NOT that proof!"

Answer 13

Ohh ok thank you

Answer 14

So, have a better choice now?

Answer 15

Ahh I just picked my choice and submitted my test, but I picked the bottom left.

Answer 16

Kk...

Answer 17

Was that wrong? I got a 95 so I guess it doesn't matter but for future reference

Answer 18

Yes, it was the bottom left.

Answer 19

That's what I picked