
Geometry
Centroid from Vertices Worksheets
Find triangle centroids from three given vertices, with exact integer or fraction coordinates.
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Calculate exact midpoints from printed whole-number, decimal-tenths, fractional or mixed endpoints, then plot each midpoint in the first quadrant or all four quadrants.
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Use the printed P1 and P2 coordinates, calculate their exact midpoint and plot M on the same graph.
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Customize this worksheetUse the printed P1 and P2 values, average the x-coordinates and y-coordinates separately, then plot M on the supporting graph.
Learning objective
Average two printed endpoint coordinates exactly and plot the midpoint.
Worked example
M = (3, 5.5).
Average each coordinate separately: (1.2 + 4.8)/2 = 3 and (3.4 + 7.6)/2 = 5.5.
Teaching notes
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Four plotted segments print both endpoints so students can calculate an exact midpoint and plot M. Choose whole numbers, decimals, fractions, or a mixed set in first-quadrant or all-quadrant grids.
A useful next step

Geometry
Find triangle centroids from three given vertices, with exact integer or fraction coordinates.
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Geometry
Identify nine diagrams by their endpoints and arrowheads, with varied orientations and a separate answer key.
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