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
#SPJ1
