What is the midpoint of the segment between (1, 1) and (3, 5)?

The midpoint of the segment between (1, 1) and (3, 5) is (2, 3).

To find the midpoint of a line segment between two points, you use the midpoint formula. The formula is \((\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2})\), where \((x_1, y_1)\) and \((x_2, y_2)\) are the coordinates of the two points. In this case, the points are (1, 1) and (3, 5).

First, add the x-coordinates of the two points: \(1 + 3 = 4\). Then, divide this sum by 2: \(\frac{4}{2} = 2\). This gives you the x-coordinate of the midpoint.

Next, add the y-coordinates of the two points: \(1 + 5 = 6\). Then, divide this sum by 2: \(\frac{6}{2} = 3\). This gives you the y-coordinate of the midpoint.

So, the coordinates of the midpoint are (2, 3). This means that if you were to draw a line segment between the points (1, 1) and (3, 5), the point (2, 3) would be exactly halfway along that line. This method can be used for any pair of points to find the midpoint, making it a very useful tool in geometry.