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Centroid from a Graph Worksheets

Read triangle vertices on a coordinate grid and calculate the centroid with exact answers.

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Read each vertex from the graph, then calculate the centroid.

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Read each vertex before averaging

Read the x- and y-coordinate of A, B and C from the grid. Add the three x-values and divide by 3, then repeat with the y-values.

Learning objective

What this activity builds

Find a triangle centroid by averaging its three x-coordinates and three y-coordinates.

Worked example

Find the centroid of A(-3, 0), B(3, 0), and C(0, 3).

G = (0, 1).

The x-coordinate is (-3 + 3 + 0) / 3 = 0. The y-coordinate is (0 + 0 + 3) / 3 = 1.

Teaching notes

Make the practice count

  • Keep x-values and y-values in separate sums.
  • Divide each sum by three, even when a coordinate is zero.
  • Keep thirds as exact fractions instead of rounding.

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Read A, B and C from each -5 to 5 coordinate grid. The worked key plots the exact centroid G.

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Math SheetNameScoreTeacherDateCentroid from a GraphRead the coordinates of A, B, and C from the graph. Find the centroid G and give its exact coordinates.1.Read A, B, and C from the graph and find centroid G.ABC-5-5-4-4-3-3-2-2-1-101122334455xyG = (________, ________)2.Read A, B, and C from the graph and find centroid G.ABC-5-5-4-4-3-3-2-2-1-101122334455xyG = (________, ________)3.Read A, B, and C from the graph and find centroid G.ABC-5-5-4-4-3-3-2-2-1-101122334455xyG = (________, ________)4.Read A, B, and C from the graph and find centroid G.ABC-5-5-4-4-3-3-2-2-1-101122334455xyG = (________, ________)Use exact fractions when needed.math-sheet.comPage 1 of 2
Math SheetNameScoreTeacherDateCentroid from a GraphRead the coordinates of A, B, and C from the graph. Find the centroid G and give its exact coordinates.5.Read A, B, and C from the graph and find centroid G.ABC-5-5-4-4-3-3-2-2-1-101122334455xyG = (________, ________)6.Read A, B, and C from the graph and find centroid G.ABC-5-5-4-4-3-3-2-2-1-101122334455xyG = (________, ________)7.Read A, B, and C from the graph and find centroid G.ABC-5-5-4-4-3-3-2-2-1-101122334455xyG = (________, ________)8.Read A, B, and C from the graph and find centroid G.ABC-5-5-4-4-3-3-2-2-1-101122334455xyG = (________, ________)Use exact fractions when needed.math-sheet.comPage 2 of 2

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