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.
See also:
Geometry Problems
1271-1280
Visual Index
Open Problems
All Problems
Quadrilateral
Perpendicular lines
Triangles
Isosceles Triangle
45 degrees
Collinearity