Parallelograms in Coord

Click on the 4th coordinate of parallelogram NPQR.

Click on the 4th coordinate of parallelogram JKLM.

From the previous question, state the coordinate as an (x,y) ordered pair. Use parentheses.

(a)  

The following points are the vertices of parallelogram JKLM:

L is $$\left(5,-6\right)$$

M is $$\left(-5,1\right)$$

K is $$\left(9,-5\right)$$

Plot each point on the graph.

A quadrilateral has vertices with coordinates: $$A\left(5,4\right)$$ , $$B\left(-6,5\right)$$ , $$C\left(5,0\right)$$ , and $$D\left(-6,9\right)$$ . The slopes of which segments could be compared to begin justifying that ABCD is a parallelogram?

A quadrilateral has vertices with coordinates $$\left(-8,-2\right)$$ , $$\left(-11,4\right)$$ , $$\left(-19,4\right)$$ , and $$\left(2,-2\right)$$ .

Is the quadrilateral a parallelogram?

Show your work on the space provided.

On the coordinate plane, how do you find the length of the side of a parallelogram?

How long is side CD?

How confident are you feeling with finding measures of angles of polygons and proving parallelograms in a coordinate plane?