Finding the Midpoint of a Segment (Grades 6–8)
The midpoint is the point exactly halfway between two points. Find it by averaging the x-coordinates and averaging the y-coordinates: midpoint = ((x₁+x₂)/2, (y₁+y₂)/2). The midpoint of (2, 4) and (6, 8) is ((2+6)/2, (4+8)/2) = (4, 6).
Understanding finding the midpoint
The midpoint is the point exactly halfway between two points. Find it by averaging the x-coordinates and averaging the y-coordinates: midpoint = ((x₁+x₂)/2, (y₁+y₂)/2). The midpoint of (2, 4) and (6, 8) is ((2+6)/2, (4+8)/2) = (4, 6).
Key Idea
The midpoint is the point exactly halfway between two points. Find it by averaging the x-coordinates and averaging the y-coordinates: midpoint = ((x₁+x₂)/2, (y₁+y₂)/2). The midpoint of (2, 4) and (6, 8) is ((2+6)/2, (4+8)/2) = (4, 6).
Seeing it in action
Worked example
Midpoint of (2, 4) and (6, 8)?
x: (2 + 6)/2 = 4. y: (4 + 8)/2 = 6. → (4, 6).
Average x-values and y-values separately.
Try a few
Midpoint of (0, 0) and (4, 6)?
Midpoint of (1, 2) and (5, 2)?
Midpoint of (2, 2) and (8, 10)?
Ready for the interactive lab?
Practice finding the midpoint in Numeris with instant feedback.
Put the reasoning on paper.
Try six fraction, angle, perimeter and area questions with explained answers, for grades 4–6.
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