I don't know how to do this? can someone help me step by step?

Question

VW is the median of a trapezoid that has bases MN and PO, with V on OM and W on PN. If the vertices of the trapezoid are M(2,6) , N(4,6), P(10,0), and O(0,0), find the coordinates of V and W. Our teacher said to use Midpoint to figure it out but thats all she said but im confused can someone out there help?

Answer 1

Okay. The best thing to do first is to graph the points on the xy-plane. Why graph the given points? To make a picture and use it as your guide.

What do we know?

1-We know the coordinates of points MNOP.

2-We also know that V lies between points OM.

3-We also know that W lies between points PN.

4-We also know that to find the coordinates of points V and W, we will need to use the midpoint formula.

Here is the midpoint formula:

midpoint = [(x1 +x2)/2 , (y1 + y2)/2]

I will find the midpoint of OM first and then the midpoint of PN second.

Ready?

midpoint of OM = [(2 + 0)/2, (6 + 0)/2] = (1, 3)

So, the point (1, 3) has the coordinates of V. The coordinates are the numbers INSIDE the parentheses.

Got it?

Now, the other guy.

midpoint of PN = [(4 + 10)/2, (6 + 0)] = (7, 3)

So, the point (7, 3) has the coordinates of W.

We are done!

Answer 2

To figure it out, trace the points in a millimetric paper, and graph the trapezoid.

You will see that V is the middle point du segment OM and W the middle point of segment PN.

Then you apply the formulas

xm = (x1 + x2) / 2
ym = (y1 + y2) / 2

These are the coordinates of middle point

Answer 3

the midpoint formula is

(X2+X1) divided by 2 and (Y2+Y1) divided by two

just plug in the numbers...

Answer 4

Ah my head hurt with all t hsoe weird things
Go to tutoring!
It helped me get an A

Answer 5

V is at ((4+0)/2, (6+0)/2) = (2,3)
W is at ((10+4)/2, (6+0)/2)) = (7,3)

Answer 6

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