Final answer:
To find the missing endpoint F of segment DF with E as the midpoint, we would need the coordinates of E. We use the midpoint formula to calculate it. However, without E's exact coordinates, we cannot determine the specific coordinates for F from the options given.
Step-by-step explanation:
To determine the coordinates of the missing endpoint F, given E is the midpoint of segment DF and knowing D's coordinates (-3, -8), we can use the midpoint formula. The midpoint formula states that the midpoint's coordinates are the average of the x-coordinates and the y-coordinates of the endpoints, respectively. Since E is the midpoint, we have:
Midpoint (E) = [(xD + xF)/2, (yD + yF)/2]
Considering D's coordinates (-3, -8), and assuming E's coordinates are already known (which we'll need to solve), you would set up the equations:
Midpoint x-coordinate = (-3 + xF)/2
Midpoint y-coordinate = (-8 + yF)/2
If E's coordinates are given, you can plug them into the equations and solve for xF and yF to find the missing endpoint F.
Without E's exact coordinates, we cannot determine the missing endpoint F from the provided options (5, 4), (-1, -16), (3, 4), or (7, 4) based solely on D's coordinates (-3, -8).