Midpoint of a segmentPoints across all four quadrants
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Find the midpoint of each segment. Watch the signs.
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Midpoint formula worksheets
The point exactly between two others is nothing more than the average of their coordinates — the middle x, the middle y. These free printable worksheets place both points across all four quadrants, so the averaging runs through zero.
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Midpoint formula
The answer key prints on a separate page.
What's on this sheet
The first-quadrant midpoint sheets keep both points positive, where averaging is a friendly halving. This one uses all four quadrants, so a coordinate is often the average of a negative and a positive: the midpoint of (−5, 1) and (−1, −5) is found by halving −6 to get −3, then halving −4 to get −2 — and getting those signs right is the work this version adds.
Why this sheet works
The two coordinates are averaged one at a time, and doing them separately is what stops a child swapping an x for a y. Every step-by-step walk here does the x's on their own line and the y's on the next, which is also the habit that survives when the numbers turn negative.
How this one works
One question from this sheet, worked through a step at a time.
Midpoint of (-5, 0) and (-1, 4)
(-5 + -1) ÷ 2=-3
(0 + 4) ÷ 2=2
(-3, 2)
- The midpoint is halfway between, so average each coordinate on its own. The x's first: (-5 + -1) ÷ 2 = -3.
- Now the y's the same way: (0 + 4) ÷ 2 = 2.
- So the midpoint is (-3, 2).