What are possible coordinates of point f if δdef is congruent to δabc?

A.  

Step-by-step explanation:

We have been given that ΔDEF is congruent to ΔABC. We are asked to find the possible coordinates of point F.

Since ΔDEF is congruent to ΔABC, so the point F will be in the line of point E and will be 7 units away from point E. Point F can be either in right or left direction.

We can see that coordinates of E are , so the y-coordinate of point F will be same as point E. But x-coordinate will be different.

The x-coordinate of the point F could be either or  .

So there are two possible coordinates for point F; that are and  .

Upon looking at our given choices we can see that option A is the correct choice.