Geometry practice

Triangle Median Construction Worksheets

Construct triangle medians by bisecting the opposite side and joining its midpoint to the named vertex.

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Construct the midpoint of the side opposite the named vertex, then join the vertex to that midpoint.

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Find the midpoint first

A median joins a vertex to the midpoint of the opposite side.

Learning objective

What this activity builds

Distinguish a median from an altitude and an angle bisector.

Worked example

What determines the endpoint of the median from vertex A?

The midpoint of side BC.

A median joins a vertex to the midpoint of the opposite side; it need not form a right angle.

Teaching notes

Make the practice count

  • Construct the midpoint with equal-radius arcs.
  • Join the specified vertex to that midpoint.
  • Check that the two pieces of the opposite side are equal.

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Four varied triangles ask for a midpoint construction followed by the named median. Native variants are fixed to provide complete teaching coverage; the source form exposes no task-specific controls.

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Configured PDF · Construct Triangle Medians · US Letter

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Math SheetNameScoreTeacherDateConstruct Triangle MediansConstruct the midpoint of the named opposite side, then join it to the named vertex.Compass and straightedge workspace1.In triangle JKL, construct the median from L to side JK.JKLWORKSPACE2.In triangle ABC, construct the median from C to side AB.ABCWORKSPACE3.In triangle STU, construct the median from U to side ST.STUWORKSPACE4.In triangle ABC, construct the median from C to side AB.ABCWORKSPACEKeep construction arcs visible. Do not measure with a ruler or protractor.math-sheet.comPage 1 of 1

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