Geometry Problems, Online Education

Online Geometry Problem 151: Quadrilateral, Area, Trisection of Sides. Level: High School, Honors Geometry, College, Mathematics Education

In the figure below, ABCD is a quadrilateral of area S. E, F, G, H, M, N, P, and Q trisect the sides. If S1, S2, S3, and S4 are the areas of the shaded quadrilaterals, prove that: S1 + S3, = S2 + S4. View or post a solution

Quadrilateral area, sides trisection

See also:
Geometric Art: Hyperbolic kaleidoscope

Problem 151 on Twitter:

Home | SearchGeometry | Problems | All Problems | Open Problems | Visual Index | Art | 151-160 | Segment Trisection | Email | View or post a solution | by Antonio Gutierrez