Respuesta :

A midpoint of a line segment implies a point on the line that is equidistant to its two ends. So that the required proof is shown below:

Given: line segment MN

           x, the midpoint of MN

           MX = RX

Then;

MX = XN (midpoint property of a line)

So that,

MN = MX + XN

      = MX + MX (since XN = MX)

MN = 2MX

Thus,

MX = XN = RX (given that MX = RX)

Therefore, it can be concluded that;

XN = RX

For more clarifications on the midpoint of a line segment, visit: https://brainly.com/question/18049211

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