Midpoint intuition in coordinates
The midpoint is the point exactly halfway between two endpoints of a segment.
Practice This ConceptMain explanation
Teacher explanation
In coordinate geometry, the midpoint is found by averaging the x-coordinates and the y-coordinates separately. This works because the halfway point must split both the horizontal and vertical changes equally. The midpoint formula gives an exact answer, even if the segment lies in any quadrant.
Example
The midpoint of (2, -1) and (8, 5) is (5, 2).
Simple analogy
Halfway means average both coordinates.
Common confusion
Students sometimes average only one coordinate correctly and forget to average the other one.
Exam tip
Midpoint means average, not subtraction and not a distance calculation.
Answer writing and exam use
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3-mark use
Explain midpoint intuition in coordinates, show the method or example, and mention the common mistake.
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