Parallelogram ABCD is shown below. Give the coordinates of D.

Question

histyleaf · Answer

Attachment below.

tori1423 · Answer

The y is going to be q i dont know the x

mathstudent55 · Answer

Opposite sides of a parallelogram are parallel.

Look at points B and C.
They both have the same y-coordinate 0.
Side AD must be parallel to side BC.
That means they must have the same y-coordinate, 
so the y-coordinate of D must be q.

mathstudent55 · Answer

Now we need to find the x-coordinate of point D.

mathstudent55 · Answer

Sides AB and DC are opposite sides.
They are parallel.
Parallel lines have equal slopes.
All coordinates of points A and B are known.
What is the slope of side AB?

histyleaf · Answer

Its so confusing...

mathstudent55 · Answer

All you need to do for now is find the slope of a line between two points whose coordinates you are given.

mathstudent55 · Answer

$\sf slope = m = \dfrac{difference ~ in~y}{difference~in~x} $

mathstudent55 · Answer

What are the y-coordinates of points A and B?

histyleaf · Answer

$$\frac{ p,q }{ 0,0} $$ 
this is the slope?

histyleaf · Answer

confusing as i said before

mathstudent55 · Answer

It seems confusing at first, but that is why I ask very simple questions. 
If you follow along, it will be less confusing.
Before we get to the fraction, what are the y-coordinates of points A and B?

histyleaf · Answer

q and 0

mathstudent55 · Answer

Here is a little reminder.
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