I worked backwards to solve this question, my explanation and working out is
in the picture. If you need any clarification, just ask in the comments.
Answer:

Step-by-step explanation:
Rule:

Your problem:

Answer:


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:

I believe the answer is side GF .