Question

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Answer 1

Have you plotted the points yet? Try plotting them on http://desmos.com

Answer 2

No, not yet.

Answer 3

https://www.desmos.com/calculator/lifihoygj0

Answer 4

Thank you! It wasn't working when I tried to do it :/
How can we determine if B or D is the correct choice?

Answer 5

The intersection of Segments BD and AC should form a 90 degree angle and their lengths should be the same.

Answer 6

calculate the distance between the points by distance formula

Answer 7

@swarup169, ever heard of a rhombus?

Answer 8

The distance between each segment can be the same, but that doesn't mean the figure is a square.

Answer 9

if length of diagonals is same its a square otherwise a rhombus

Answer 10

So I should stick with B? :/
-This is a little confusing..

Answer 11

@swarup169, the intersection of the diagonals also must form a 90 degree angle right?

Answer 12

yes

Answer 13

@lilia222, The quickest way to do this is to first determine whether or not the figure is a square using the suggestion I provided.

Answer 14

@Hero Yes, it is.

Answer 15

@lilia222, This is much easier to do with graph paper.

Answer 16

I know, but I don't have any .
@swarup169 any suggestions?

Answer 17

@lilia222 have u calculated the distances?

Answer 18

using this distance formula?

Answer 19

No, I'm doing it now.

Answer 20

@swarup169 I was able to confirm with the distance formula that AC is 29 and AB is 21. Meaning, D is correct when they say AC is not equal to AB.

@Hero Now, I'm just confused whether B or D is the answer. Could it be possible that B is also correct? I don't know which one is the right one. How do we determine if B is right anyway?

Answer 21

same way calculate AB BC CD and AD to find out

Answer 22

@lilia222, you determined that D is correct. Notice that D says "is not a square". The figure can't both "not be a square" and also "be a square". It must be one or the other.

Answer 23

It's not, none of the lengths are equal..

Answer 24

So read choices B and D again and see if you can come to a realization.

Answer 25

@swarup169, Please guide, explain, teach rather than give answers. If you give the answer without explaining, the user doesn't learn how to how solve the problem on his or her own. Furthermore, giving answers without explaining is against Open Study's CoC:

http://openstudy.com/code-of-conduct

Please read and familiarize yourself with the code before answering any more questions. Thank you.

Answer 26

^Thank you to the both of you though...
It was greatly appreciated and Hero- you type soooo fast!

Answer 27

@swarup169 and @hero Can one of you explain to me why "A" is incorrect and why ''B'' is the correct option!??

Answer 28

because we define tan in that way as mentioned in formula

Answer 29

@swarup169, you can do that, or you can learn how to use \(\LaTeX\)

\(\sin(\theta) = \dfrac{a}{c} \\\cos(\theta) = \dfrac{b}{c} \\ \tan(\theta) = \dfrac{a}{b} \)