Question

PLease help ill fan and medal!
Which diagram shows the most useful positioning and accurate labeling of a rhombus in the coordinate plane?

Answer 1

a.

Answer 2

b.

Answer 3

c.

Answer 4

d.

Answer 5

@Directrix

Answer 6

C

Answer 7

It is C and if you need me to explain more let me know

Answer 8

Yes, I'd like to know the explanation @MDoodler

The Open Study Code of Conduct requires it anyway.

Answer 9

A Rhombus is a flat shape with 4 equal straight sides. Opposite sides are parallel, and opposite angles are equal (it is a Parallelogram). And the diagonals "p" and "q" of a rhombus bisect each other at right angles.

Answer 10

That leaves us with B or c

Answer 11

Now, look at the points.

Answer 12

a = x axis
b = y axis

Answer 13

So, option B or option C because they both look attractive to me.

Answer 14

No, read the description I gave about a rhombus

Answer 15

The other two are not rhombus

Answer 16

next look at the pointing system

Answer 17

C accurately allows you to represent a rhombus on the 2d plane

Answer 18

On Option B, I cranked out the lengths of all 4 sides and they are the same:

sqr(2b^2). By definition, a rhombus has 4 congruent sides.

Answer 19

Doesn't option B do this as well "accurately allows you to represent a rhombus on the 2d plane"

Answer 20

@MDoodler On option C, what are the lengths of the sides?

Answer 21

The answer is C it is wanting to know "Which diagram shows the most useful positioning and accurate labeling of a rhombus in the coordinate plane? " B has the wrong labeling.

Answer 22

It is not asking you to solve to see if it is a rhombus

Answer 23

If you don't check the given figures against the properties of a rhombus, there is no way to know the best positioning.

And, if options B has the wrong labeling, what is wrong with the labeling?

Answer 24

b = y axis
a = x axies

B uses b for Y and X axis

C uses a for x axis and b for y axis, which is the right labeling

Answer 25

"If you don't check the given figures against the properties of a rhombus, there is no way to know the best positioning."

It is called deduction. at least with this problem.

Answer 26

On option B, if you let b = 3, then there is no problem with the resulting figure being a rhombus. And, b can be a coordinate on the x and y axes. Granted, it may be a y intercept if the point is (0,b) and an x-intercept if the point is (b,0).

Answer 27

So you think it is B?

Answer 28

I think that both B and C are lay-outs for a rhombus.
One may be a square lay-out and the other a lay-out for a generic rhombus, a rhombus that could be a square but doesn't have to be.

Answer 29

If one of them is a square lay-out, it would not be the best way to represent a rhombus because it is presenting a set-up for a particular kind of rhombus.

Answer 30

Now which labeling do you think is correct? B or C?

Answer 31

The slopes of consecutive sides of option B multiply to -1 which indicates that the sides are perpendicular which makes the quadrilateral shown a square.

Also, the slopes of consecutive sides of option C multiply to -1 which indicates that the sides are perpendicular which makes the quadrilateral shown a square.

Answer 32

A rhombus does not have perpendicular sides so that is why I cannot choose between B and C or choose either one of them for that matter. I do agree that by inspection, option C looks attractive to the eye.

Answer 33

I think whoever created the question messed up, and we are stuck with it.

Answer 34

@ Directrix, I think you are making the problem harder than what it really is.

Answer 35

Properties of the diagonals of a rhombus:
(1)The intersection of the diagonals of a rhombus form 90 degree (right) angles. This means that they are perpendicular.
(2)The diagonals of a rhombus bisect each other. This means that they cut each other in half.

B and C both does that and A and D does not. So we conclude B or C is the answer but next we need to know which one has the proper labeling, which one is taught that C is the proper way to label.

Answer 36

However, it is not a property of a rhombus that consecutive sides are perpendicular.
Therein lies the conflict I see.

Answer 37

The answer is C and it was fun but time to go home. Good luck

Answer 38

http://www.bing.com/search?q=Which+diagram+shows+the+most+useful+positioning+and+accurate+labeling+of+a+rhombus+in+the+coordinate+plane&src=IE-TopResult&FORM=IETR02&conversationid=

There is three site with the exact same quest and they all agree with my answer.