Geometry Problem 1280

Elements: Quadrilateral, Perpendicular Diagonals, Isosceles Right Triangles, 45 Degrees, Collinear Points.

In a quadrilateral ABCD, the diagonals AC and BD are perpendicular at E. AFD and BGC are isosceles right triangle, as shown in the figure. Prove that the points E, F, and G are collinear.
See also: Geometry problem 1280: Typography in motion.

Geometry Problem 1280: Quadrilateral, Perpendicular Diagonals, Isosceles Right Triangles, 45 Degrees, Collinear Points


See also:
Geometry Problems
Visual Index
Open Problems
All Problems
Quadrilateral
Perpendicular lines
Triangles
Isosceles Triangle
45 degrees
Collinearity


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