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For the parallelogram, find coordinates for P without using new variables.

HELP For the parallelogram, find coordinates for P without using new variables.-example-1

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Answer:

(a + c, b)

Explanation:

First the easy part... the Y-value.

There's an horizontal line where the P is... that line has a point identified (a,b). So, the Y-value of P is b.

Now the X-value.

You see that P is a bit right to c, so it's something more than c, but how much? If you look, P is as right to C as a is to the origin. Since we know it's a parallelogram, the line that goes from origin to (a,b) is parallel to the one going from C to P.

So the X-value of point P is: c + a

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