Question

The figure below shows triangle NRM with r^2 = m^2 + n^2:
http://prntscr.com/94cadg

Ben constructed a right triangle EFD with legs m and n, as shown below:
http://prntscr.com/94cai7

He made the following table to prove that triangle NRM is a right triangle:
http://prntscr.com/94can9

Which reason best fits statement 4?
SAS postulate
AAS postulate
Square Root Property of Equality
Triangle Proportionality Theorem

I don't think it's C or D, but I'm also not too sure.

Answer 1

@superdavesuper

Answer 2

explain why u dont think its C or D @leahhhmorgannn

Answer 3

Well, according to the resource sheet my school gave me:

http://prntscr.com/94cbsq

http://prntscr.com/94cbw5

And I just don't think those fit with the question

But I'm also not good with this stuff so

Answer 4

compare the first screen shot u just posted n what was done between statement 3 and 4.....

Answer 5

I can't tell what happened from statement 3 to statement 4...
As I've stated before, I'm not good at these, whatsoever.
@superdavesuper

Answer 6

hmmm u dont know what math operator will change \[t^{2}\] to t ? perhaps u should read ur study material again n try to understand it better.

Answer 7

First of all, there was no study material. Just a list of postulates and theorems, which makes no sense to me.
Second, no, I don't know what happens from one step to another. I'm not even sure how to read that.

Answer 8

hmmm....check this plz

https://www.mathsisfun.com/square-root.html

Answer 9

I get square roots, that was like third grade.
So what, that t squared looks like it's getting unsquared?
That's not helping me understand this at all.

Answer 10

I can honestly say that I don't know anything about this question.

Answer 11

Great - u know square root :) u got me worried 4 a moment there! lol

so isn't it a square root function in going from Step 3 to 4?

Answer 12

See, the wording of the definition they gave me for the square root property of equality just confuses me
But yes, it is a function to do with square roots.

Now I have a question - can you un-square something? Because that's what it looks like they're doing from Steps 3 to 4.

Answer 13

err...."un-square" = square root...

Answer 14

Again, I don't know.

Answer 15

@jim_thompson5910 help plz?

Answer 16

which part u dont know @leahhhmorgannn ? i just stated "un-square" is the same as square root.

Answer 17

I just don't get any of it.
It's just all confusing to me.
You have to understand that you know math very well, but it's all like a foreign language to me.

Answer 18

@leahhhmorgannn sorry im not very good at explaining; thats why i tagged @jim_thompson5910 who is much better than im...

i can tell u the ans is C but im having trouble in explaining why that is the right ans to u. sorry! :(

Answer 19

@jim_thompson5910 do you wanna try? I know you've helped me a lot before.

Answer 20

thanks for trying, dave.

Answer 21

welcome n good luck! :)

Answer 22

Sorry I'm reading and thinking about how to approach this

Answer 23

@leahhhmorgannn do you agree that \[\Large \sqrt{f^2} = f\] ?

Answer 24

I was just about to say that after I thought a bit about it.
Yes, I do agree.

Answer 25

And that's the same basic thing the definition of the theorem says, right?

Answer 26

yes, just replace 'a' with 'f'

Answer 27

similarly,

\[\Large \sqrt{r^2} = r\]

Answer 28

And doing the same thing with 'r' would make sense too

Answer 29

yeah, just like that

Answer 30

Okay, so once I stopped stressing myself out by doubting myself, that was easy to understand and relate.

Answer 31

The square root of equality theorem basically says that if \[\Large a = b\] then \[\Large \sqrt{a} = \sqrt{b}\] You apply the square root to both sides to balance tings out

Answer 32

That makes sense.

Answer 33

which is why we get

\[\Large f^2 = r^2\]

\[\Large \sqrt{f^2} = \sqrt{r^2}\]

\[\Large f = r\]

Answer 34

Because the equations are always balanced and f will equal r as long as whatever change you're making is applied to each side, right?

Answer 35

correct, as long as it happens to both sides

Answer 36

so is that all it takes to figure out the answer or are there more things to consider?

Answer 37

nope, the only thing that goes in the blank is "square root property of equality". You can do those expanded steps, or you can take a shortcut like they did in this 2 column proof table

Answer 38

able to calmly explain something, thats why u ARE the professor @jim_thompson5910 :)

Answer 39

Thank you so much!
You're really just great at explaining things, @jim_thompson5910

Answer 40

thank you for the compliments, and you're welcome