Point G and point H are the same distance form point F. Which coordinates could be the location of point H?

Step-by-step explanation:

The attachment is not clear. However, the points of G and F are:

And the options are:

Required

Determine the coordinates of H

This question will be solved using distance formula, D

Since F is equidistant of G and H, the formula can be represented as:

and

Where:

Substitute values for x , y , x2 and y2 in

Square both sides:

Substitute values for x , y , x1 and y1 in

Square both sides:

Substitute 5 for D^2 in

From the list of given options, the values of x and y that satisfy the above condition is: (5,1)

This is shown below

Other options do not satisfy this condition. Hence, the coordinates of H is:

step-by-step explanation: it is d