anonymous
  • anonymous
Parallel and Perpendicular Lines: Solve: 7. Given: P(-4,1), Q(2,3), R(4,9), S(-2, 7). A. Graph quad PQRS. B. What is the slope of --PQ?(Suppose to be under the line) and of --PS?(Suppose to be under.) C. What is the slope of --QR?(Suppose to be under.) and of --PS?(Suppose to be under.) D.Use slopes to show that the diagnoals of quad. PQRS are perpendicular. E. What kind of quadrilateral is PQRS? Explain. Show Work (: and Please Help!
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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Hero
  • Hero
Have you graphed it yet?
anonymous
  • anonymous
Yes, I have already graphed it.
Hero
  • Hero
Okay, so what is the next step?

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More answers

anonymous
  • anonymous
There is just really 2 of the parts I don't understand.
anonymous
  • anonymous
I don't understand how to C. and D. After I find the Slope's.
Hero
  • Hero
Okay, hold on for a minute
anonymous
  • anonymous
Alright (:
Hero
  • Hero
Hmmm, yeah this is interesting. I personally wouldn't prove them to be perpendicular using the method they suggest.
Hero
  • Hero
They give you the points, so I would have used the slopes of the diagonals, not the quadrilateral, to prove that their perpendicular to each other.
anonymous
  • anonymous
I'm sorry It was D. & E. I was reading the wrong one lol.
Hero
  • Hero
I know that it is a rhombus
Hero
  • Hero
But I think it's silly to try to use the slope to prove that the diagonals are perpendicular
anonymous
  • anonymous
I would show it for it to be Perpendicular though?
Hero
  • Hero
But actually, the slopes are the same for all four sides so that might be a clue as far as the properties of a rhombus go.
anonymous
  • anonymous
So they are all the same?
anonymous
  • anonymous
Soooo???
Hero
  • Hero
Yes, what are the properties of a rhombus? All four sides equal, right?
Hero
  • Hero
If all four sides have the same slope, they must be equal in length. It is not possible for a quadrilateral to have four sides with the same slope and the sides not be equal
anonymous
  • anonymous
So, If it would be Perpendicular would you flip the slope and make it negative?
Hero
  • Hero
If all four sides of a quadrilateral are equal, by definition, it is a rhombus. Therefore, the diagonals will be perpendicular.
anonymous
  • anonymous
So is that my answer for D.?
Hero
  • Hero
Pretty much
anonymous
  • anonymous
Alright Thanks. (:
Hero
  • Hero
I admit, it's not a direct proof or anything like that.
Hero
  • Hero
You should have asked your instructor what kind of proof he or she wanted
anonymous
  • anonymous
Yeah, I should have. I asked her at the end of the day on Friday and she just said to figure what it would be after you find the slope and perpendicualar.

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