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Da VIP Academy / GED / Math / Geometry & Measurement

Coordinate Geometry

Plot points and find distance and midpoint on the coordinate plane.

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How it works

Distance uses the Pythagorean theorem

From (1, 2) to (4, 6): the legs are 3 and 4, so the distance is √(9 + 16) = 5.

Midpoint averages the coordinates

Midpoint of (−2, 4) and (6, 10) is ((−2 + 6)/2, (4 + 10)/2) = (2, 7).

Worked examples

  1. Find the distance from (1, 2) to (4, 6).

    1. Δx = 3, Δy = 4.
    2. 3² + 4² = 25.
    3. √25 = 5.

Words to know

Coordinate
An (x, y) pair locating a point.

Test-day tips

  • • Sketch the points — it prevents sign errors.
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