Question

Given: points A(2; 1), B(3; 2), C(4; 4) andD(5; 2). IsABCDa parallelogram

Answer 1

Use distance formula.

Answer 2

I don't see how that would help

Answer 3

How it would help is because of the properties of parallelograms.

Answer 4

What goformit100 is talking about should be somewhere in your book. A list of information like this one:

http://www.regentsprep.org/Regents/math/geometry/GP9/LParallelogram.htm

Answer 5

I kinda see what you're saying, but this section is on vectors

Answer 6

if vector AB = vector DC and vector AD = vector BC, then it's a parallelogram.
vector AB = point B - point A

Answer 7

This is what my prof. put as the answer

ABCD is a Parrallogram if vector AB+VECTOR AD=VECTOR AC

Answer 8

AH, in vectors. OK, yes, if they define the sides of the parallelogram. So if you can prove that they are one vector added on to the other, and vice verca, then they define it.

Answer 9

I'm on the verge of seeing what you're saying. But, I don't see how proving that by proving that when we add 2 of the vectors it equals the 3rd one (which is given), indicates that the set of given points is a Parrallogram.

Answer 10

Well, in this case, it isn't but... let me see.... I may have an easy reference already made.

Answer 11

right, for this problem the answer is that it isn't a Parrallogram

Answer 12

OK, this was a draft, but it has it in there.

Answer 13

If you look at the first page, the vectors can add up on either side to meet at the far corner. In this problem of yours, they add one way, but not the other. Well, they don't reach one of the points through addition.

Answer 14

OOOOO

Answer 15

Yah, I know, most people don't have a rough draft of vector additon sitting around in a PDF. LOL.

Answer 16

so if we have to vectors and add them they form Parrallogram no matter what. But this problem is asking specifically if the Parrallogram they form has a vertices on the indicated points? essentially