Ava wants to draw a parallelogram on the coordinate plane. She plots these 3 points.

Part A
Find and label the coordinates of the fourth vertex, K, of the
parallelogram. Draw the parallelogram.

Part B
What is the length of side JK? How do you know?​

Step-by-step explanation:

Given

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See attachment for grid

Solving (a): The coordinates of K

The parallelogram has the following diagonals: IJ and HK

Diagonals bisect one another. So:

Midpoint of IJ = Midpoint of HK

This gives:

Multiply through by 2

By comparison:

Solve for x and y

So, the coordinates of k is:

The length of JK is calculated using distance (d) formula

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So:

Hence: