annipuppi
  • annipuppi
The coordinates for a rhombus are given as (2a,0), (0,2b), (-2a,0), and (0,-2b). Write a plan to prove that the midpoints of the sides of a rhombus determine a rectangle using coordinate geometry. Be sure to include the formulas
Mathematics
  • Stacey Warren - Expert brainly.com
Hey! We 've verified this expert answer for you, click below to unlock the details :)
SOLVED
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.
schrodinger
  • schrodinger
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
annipuppi
  • annipuppi
1 Attachment
myininaya
  • myininaya
So you want the slopes of the intersecting line segments to be perpendicular, agreed?
annipuppi
  • annipuppi
Yeah

Looking for something else?

Not the answer you are looking for? Search for more explanations.

More answers

myininaya
  • myininaya
and I mean not the slopes to be perpendicular but the line segments to be perpendicular i said that a little wrong errr but anyways the reason slopes came into mind is because we know what about the slopes if the line segments are perpendicular?
annipuppi
  • annipuppi
They are the opposite recipricols and I knew what you meant haha
myininaya
  • myininaya
and i guess they were talking about the midpoints
myininaya
  • myininaya
not where the line segments intersect
myininaya
  • myininaya
|dw:1386186685552:dw| pretend that is perfect
myininaya
  • myininaya
they already give you the midpoints
myininaya
  • myininaya
just show the slopes are undefined and 0 with those points given
myininaya
  • myininaya
like look at one line segment at a time Take the line segment with (-a,b) and (-a,-b)
myininaya
  • myininaya
find the slope
myininaya
  • myininaya
then do the same with the line segment going through (-a,b) and (a,b)
annipuppi
  • annipuppi
how do you find the slope of that though?
myininaya
  • myininaya
do you know the slope formula? Also what do you know about the slopes of vertical lines and horizontal lines without using the slope formula?
annipuppi
  • annipuppi
yeah and the slope of horizontal lines is 0 and the slope of vertical lines is undefined but how do we know they are horizontal and vertical lines?
myininaya
  • myininaya
all the points on x=a have what in common?
myininaya
  • myininaya
look at the line segment going through the midpoints
annipuppi
  • annipuppi
oh I see now. nevermind that was a stupid question. Okay so now that I know the slopes of each line how do I prove its a rhombus?
myininaya
  • myininaya
you were trying to show that one thing is a rectangle
annipuppi
  • annipuppi
oops I meant to say how do I prove its a rectangle
myininaya
  • myininaya
we did that by showing the angles were 90 degrees.
myininaya
  • myininaya
We show that by showing the line segments were perpendicular.
myininaya
  • myininaya
we knew the line segments were perpendicular because one was horizontal and the other was vertical
myininaya
  • myininaya
we knew we had a horizontal line segment because all the y values of the coordinates that lied on that line segment were the same
annipuppi
  • annipuppi
Okay so there arent any formulas that I have to include or anything?
myininaya
  • myininaya
we knew we had a vertical line segment because all the x values of the coordinates that lied on that line segment were the same
myininaya
  • myininaya
If you want you could use that one formula I mentioned
annipuppi
  • annipuppi
The slope formula right? but I don't really need it
myininaya
  • myininaya
You also might want to use that midpoint formula to show why those points in your picture are midpoints.
annipuppi
  • annipuppi
Okay. that makes sense. Thanks for your help!
myininaya
  • myininaya
np

Looking for something else?

Not the answer you are looking for? Search for more explanations.