Explain Midpoint

Let me explain you about Midpoint,

A midpoint of a line segment is the halfway point, or the point equidistant from the endpoints (Figure 1 ).

Figure 1 Midpoint of a line segment.

R is the midpoint of QS because QR = RS or because QR = ½ QS or RS = ½ QS

Example 3: In Figure 2 , find the midpoint of KR .

Figure 2 Midpoint of a line segment.

The midpoint of KR would be ½(24), or 12 spaces from either K or R. Because the coordinate of K is 5, and it is smaller than the coordinate of R (which is 29), to get the coordinate of the midpoint you could either add 12 to 5 or subtract 12 from 29. In either case, you determine that the coordinate of the midpoint is 17. That means that point O is the midpoint of KR because KO = OR.

Another way to get the coordinate of the midpoint would be to find the average of the endpoint coordinates. To find the average of two numbers, you find their sum and divide by two. (5 + 29) ÷ 2 = 17. The coordinate of the midpoint is 17, so the midpoint is point O.

Theorem : A line segment has exactly one midpoint.

Hope the above explanation helped you.