Question

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)

Answer 1

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

Answer 2

No, it does not @campbell_st

Answer 3

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

Answer 4

just repeat the process with the last 2 choices

Answer 5

Okay, so after plotting the points for B, i do think that it is a Parallelogram
Am i correct?
@campbell_st

Answer 6

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

Answer 7

Hi, @Ahmad-nedal I'm still very lost. :(
I thank you in advance for all the help you offer me.

Answer 8

Oooh ur so welcome @studyhard6573 :)
Now let's getdown for business

Answer 9

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)

Answer 10

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

Answer 11

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

Answer 12

I hope that was good enough

Answer 13

It was very helpful, and i got the answer right.
Thank you so much.

Answer 14

You are welcome :)