Which set of vertices forms a parallelogram? A(2,4), B(3, 3), C(6, 4), D(5, 6) A(-1, 1), B(2, 2), C(5, 1), D(4, 1) A(-5, -2), B(-3, 3), C(3, 5), D(1, 0) A(-1, 2), B(1, 3), C(5, 3), D(1, 1)

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Which set of vertices forms a parallelogram? A(2,4), B(3, 3), C(6, 4), D(5, 6) A(-1, 1), B(2, 2), C(5, 1), D(4, 1) A(-5, -2), B(-3, 3), C(3, 5), D(1, 0) A(-1, 2), B(1, 3), C(5, 3), D(1, 1)

Geometry
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well one thought is to plot them and see which looks like a parallelogram and then find the slopes of the opposite sides to see if they are parallel here is the 1st choice, does it look like a parallelogram
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No, it does not @campbell_st
ok... so ignore choice A so then plot the points for B here is option B check the points are correct and decide if its a parallelogram
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just repeat the process with the last 2 choices
Okay, so after plotting the points for B, i do think that it is a Parallelogram Am i correct? @campbell_st
U need to test the distance between each two points. When the distance of some opposite pair of sides are equal (I.e for example side 1,3 equal. And side 2,4) If that's true, u can now check the slope of the equal sides, if the slopes r equal, then it' parallelogram. For this question however, I believe the choices can be eliminated by the inequality of the length of opposite sides, which makes the procedure faster
Hi, @Ahmad-nedal I'm still very lost. :( I thank you in advance for all the help you offer me.
Oooh ur so welcome @studyhard6573 :) Now let's getdown for business
I'm having some problem in sketching from device unfortunately. Anyhow, let's assume I have the points (-1,-1),(1,1),(1,-1)(-1,1)
The distqnce between the points (-1,-1) ,(-1,1) equals the distance between (1,1),(1,-1),the same holds for the horizontal distance the points parallel to xaxis
Now u can check the slopes of the equal lengths (which r the sides of the parallelogramgram), theymus be parallel, right. Fortunately they are, since the slope lines are equal. Then we proved it's a prallelogram
I hope that was good enough
It was very helpful, and i got the answer right. Thank you so much.
You are welcome :)

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