Distance and Midpoints

In geometry, we are dealing with all sorts of shapes all the time, and sometimes we need to find the distance from one point to another or the middle of the section we are talking about.

To find the distance or the length of the line, we would use the distance formula, which is shown below.

d = distance

(x1, y1) = first point

(x2, y2) = second point

For example if we have a line that starts at (1,1) and ends at (4, 5), we can use the formula to solve with (x1, y1) = (1, 1) and (x2, y2) = (4, 5). Simplify after plugging in all the values to get the distance between the two points, or the length of the line.

To find the midpoint of the line or the point that is right in the middle between the ends of the line, we can use the equation below.

We can use the same points as before, (1,1) as (x1, y1) and (4, 5) as (x2, y2), and plug these numbers into the equations above.

Now that you practiced learning, you can put your knowledge to the test using a quiz!