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)?
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