Home Geometry Problems All Problems Visual Index Post a comment
  Recent Additions
Problem 431: Quadrilateral, Midpoints of Diagonals, Transversal

The figure shows a quadrilateral ABCD. E and F are the midpoints of diagonals AC and BD. Line EF intersects AB and CD at G and H, respectively. Prove that AG.DH = BG.CH.
 

Quadrilateral, diagonal, midpoint, similarity



 

 

Related Topics:

 

Classical Theorems

 

Problem 432: Trapezoid, Parallel, Similarity

Proposed Problem 432.
Trapezoid, Parallel, Measurement, Similarity, Transversal.
 

Inscribed and Circumscribed regular Pentagon, Areas

Proposed Problem 430.
Circumscribed and Inscribed Regular Pentagon, Perpendicular, Areas.
 

Regular pentagon

Proposed Problem 429.
Circumscribed and Inscribed Regular Pentagon, Perpendicular, Measurement.