COO005 · Coordinate geometry · Classes 9–10
Midpoint formula
The midpoint of a segment is the average of the end points' coordinates.
MMidpoint formula
📐 Formula
M = ((x₁ + x₂)/2, (y₁ + y₂)/2)
✏️ Worked example
(−2, 1) and (4, 5): M = (1, 3).
🌍 Where it is used
Meeting halfway, centres of objects, bisecting lines.
❓ Quick check
Midpoint of (0, 0) and (6, 8)?
🏋️ Practice
EasyMidpoint of (2, 3) and (8, 7)?
Answer: (5, 5)
MediumMidpoint (4, 1), one end (2, −3). Other end?
Answer: (6, 5)
ChallengeMidpoint of (−5, 2) and (5, −2)?
Answer: (0, 0)