Geometry Problem 1558: The Midpoints of the Segments Connecting Corresponding Vertices of Equilateral Triangles Form an Equilateral Triangle

You are kindly requested to provide proof that: The midpoints of segments connecting corresponding vertices of equilateral triangles form an equilateral triangle.

Illustration of Midpoints of lines connect Corresponding vertices of an equilateral triangle, A charming proof yields A hidden symmetry in geometry, Triangles three make one.

Midpoints of lines connect
Corresponding vertices of an equilateral triangle,
A charming proof yields
A hidden symmetry in geometry,
Triangles three make one.

Academic Levels: Suitable for High School and College Mathematics Education

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Equilateral Triangle
Midpoint
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