What is the midpoint of \( (6,2) \) and \( (10,0) \) ? Choose 1 answer: (A) \( (8,1) \) (B) \( (4,5) \) (C) \( (1,8) \) (D) \( (5,4) \)

To find the midpoint of the points \( (6,2) \) and \( (10,0) \), you use the midpoint formula, which is given by: \[ \left(\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2}\right) \] Plugging in the coordinates: \[ \left(\frac{6 + 10}{2}, \frac{2 + 0}{2}\right) = \left(\frac{16}{2}, \frac{2}{2}\right) = (8,1) \] So the midpoint is \( (8,1) \), which corresponds to option (A). Finding the midpoint is a great skill in geometry as it helps you understand how two points relate to each other on the coordinate plane. It's particularly useful in various design applications, where balance and proportion are key! When solving problems like this, be careful not to confuse the midpoint formula with other geometric formulas! A common mistake is to incorrectly average only one coordinate or miscalculate the arithmetic involved. Double-check your work for accuracy!