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A <em>midpoint</em> of a<em> line segment</em> implies a point on the line that is <u>equidistant</u> to its two ends. So that the <em>required</em> proof is shown below:
Given: line <u>segment</u> MN
x, the <em>midpoint </em>of MN
MX = RX
Then;
MX = XN (<u>midpoint</u> 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: brainly.com/question/18049211
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