Question

For the Parallelogram, find the coordinates of P without using any new variables.

If you have the answers to the rest of the multiple choice, I would appreciate those being given as I am 2 weeks behind because I’m struggling to take this test

Answer 1

I think the answer is b.(C+b-a, d).

Because d is the y-coordinate of the point that is on the left of point P so i guess it makes sense.

Hope this helps :)

Answer 2

Answer with explanation:

Properties of Parallelogram

1. Opposite sides are equal and parallel.

2. Diagonals bisect each other.

3. opposite angles are equal.

We will use second property to find coordinates of Vertex P of this parallelogram.

Mid point formula,

The mid point of line segment joining two points, (a,b) and (c,d)=(x,y) is given by,

`x=(a+c)/(2),y=(b+d)/(2)`

Let coordinates of P be (m,n).

`1.(b+c)/(2)=(m+a)/(2)\\\\ b+c=m+a\\\\ m=b+c-a\\\\2. (d+0)/(2)=(0+n)/(2)\\\\n=d`

So, Coordinates of vertex P of the parallelogram is (m,n)=(b+c-a,d) .

Option B