In the standard coordinate plane, what are the
coordinates of the midpoint of a line segment whose
endpoints are and ?

To find the midpoint of a line segment in the coordinate plane, you can use the midpoint formula, which states: . Given the endpoints and , plug in the coordinates:

.

So, the coordinates of the midpoint are .

Now, for a little fun: Did you know that finding midpoints is not only useful in geometry but also in fields like computer graphics? When animating characters or objects, determining the center point is essential for rotations and movements, making your favorite video games smoother and more enjoyable!

Additionally, when dealing with midpoints, one common mistake is mixing up the x and y coordinates. Always double-check that you’re adding and averaging the correct pairs! A simple misalignment can skew your whole calculation, but with a little care, you’ll avoid those pesky pitfalls!