Question

In quadrilateral PQRS, the coordinates are P(0, 0), Q(a + c, 0), R(2a + c, b), and S(a, b). How can you use coordinate geometry to show that the diagonals are perpendicular?

Answer 1

The diagonals are not perpendicular in general. Take a=b=c=1 and you can see that they are not

Answer 2

http://www.wolframalpha.com/input/?i=rectangle%28%280%2C+0%29%2C+%282%2C+0%29%2C+%283%2C+0%29%2C+%281%2C+1%29%29

Answer 3

wow but thats the question on the test so idk lol

Answer 4

its multiple choice can i show u the option nu decide which is best?

Answer 5

Yes show me

Answer 6

I think the sides are perpendicular

Answer 7

(A) Apply the Distance Formula to show that opposite sides PQ and RS are congruent.
(B) Find the slopes of PR and QS, and show that their product is -1.
(C)Apply the Distance Formula to show that opposite sides PS and QR are congruent.
(D) Find the slopes of PQ and RS, and show that their product is 1.

Answer 8

The diagonal are not perpendicular and to do that, you should use B to prove that they are not.
So B is the answer

Answer 9

any suggestions?