Midpoint of a segmentPoints in the first quadrant
Name: Date:
Find the midpoint of each segment.
1 ()
2 ()
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4 ()
5 ()
6 ()
Midpoint of a segment worksheets
The point halfway between two others is nothing more than the average of their coordinates — the middle x, the middle y. These free printable worksheets plot the two points and the segment joining them, and ask for the one exactly between.
Kid stuck on one? You don’t just get the sheet.
Midpoint of a segment
The answer key prints on a separate page.
What's on this sheet
The figure is the same one the distance sheets draw — two points and the line between them — because the picture a child reads is the same. What changes is the question: distance asks how far apart the points are, this asks what sits exactly between them. Reading the coordinates off the grid and averaging is the whole method, and it needs no formula to memorise.
Why this sheet works
The two coordinates are averaged one at a time, and doing them separately is what stops a child from swapping them. The midpoint of (−5, 1) and (−1, −5) is found by halving −6 to get −3, then halving −4 to get −2 — never by mixing an x with a y. Every step-by-step walk here does the x's on their own line and the y's on the next.
How this one works
One question from this sheet, worked through a step at a time.
Midpoint of (0, 8) and (10, 10)
(0 + 10) ÷ 2=5
(8 + 10) ÷ 2=9
(5, 9)
- The midpoint is halfway between, so average each coordinate on its own. The x's first: (0 + 10) ÷ 2 = 5.
- Now the y's the same way: (8 + 10) ÷ 2 = 9.
- So the midpoint is (5, 9).