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!

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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
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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.

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Have you graphed it yet?
Yes, I have already graphed it.
Okay, so what is the next step?

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There is just really 2 of the parts I don't understand.
I don't understand how to C. and D. After I find the Slope's.
Okay, hold on for a minute
Alright (:
Hmmm, yeah this is interesting. I personally wouldn't prove them to be perpendicular using the method they suggest.
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.
I'm sorry It was D. & E. I was reading the wrong one lol.
I know that it is a rhombus
But I think it's silly to try to use the slope to prove that the diagonals are perpendicular
I would show it for it to be Perpendicular though?
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.
So they are all the same?
Soooo???
Yes, what are the properties of a rhombus? All four sides equal, right?
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
So, If it would be Perpendicular would you flip the slope and make it negative?
If all four sides of a quadrilateral are equal, by definition, it is a rhombus. Therefore, the diagonals will be perpendicular.
So is that my answer for D.?
Pretty much
Alright Thanks. (:
I admit, it's not a direct proof or anything like that.
You should have asked your instructor what kind of proof he or she wanted
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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