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Mathematics 12 Online
OpenStudy (anonymous):

Help please???

OpenStudy (anonymous):

Given points A(4, 3), B(4, -2), C(-4, -1), D(-1, 4). Determine whether quadrilateral ABCD with the given vertices is a parallelogram or not. You must provide work to prove your answer.

OpenStudy (anonymous):

I did this and did -2-4/4-4

OpenStudy (anonymous):

And I got -infinity

OpenStudy (anonymous):

Can that be a slope?

OpenStudy (phi):

Yes, you can get infinity, but people say "slope is undefined" it means the line is straight up and down.

OpenStudy (phi):

But what 2 points gave you that answer ?

OpenStudy (anonymous):

line AB

OpenStudy (anonymous):

so (4,3) and (4,-2)

OpenStudy (phi):

ok. but (though it does not matter in the answer) the calculation is -2 -3 /(4-4) notice if you plot these points, it should be clear that you don't have parallel lines in this figure

OpenStudy (phi):

or if you continue calculating the slopes of each line, you will not get any matches

OpenStudy (anonymous):

Yes I know XD But I need to do the whole problem and find all the slopes because I need to show work

OpenStudy (mathmale):

I'd strongly suggest that you sketch these four points quickly. A sketch would tell you quickly whether there's any possibility that the figure is a parallelogram or not. for a more precise approach, you might want to find the slopes of all four of the lines connecting the given points. In order for this to be a parallelogram, you must end up with 2 sets of equal slopes. Are you OK with finding slopes, or do you need a review of that?

OpenStudy (anonymous):

I got all the answers I needed. Thanks guys :)

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