Geometry Problem 1321: Intersecting Circles, Diameter, Secant, Chord, Collinearity

Two circles with centers O and Q intersect at points E and F. AB and CD are diameters of circles O and Q, respectively. AC cuts the circles Q and O at G and H, respectively. BD cuts the circles Q and O at J and K. AK cuts DG at L. BH cuts CJ at M. Prove that the points F, L, M, and E are collinear.

Geometry Problem 1321: Triangle, Circle, Diameter, Tangent, Altitude, Congruent Angles

See solution below

See also:
Geometry Problems
Ten problems: 1321-1330
Visual Index
Open Problems
All Problems
Intersecting Circles
Collinear Points
See also:
Artwork of problem 1321
Sketch of problem 1321

View or Post a solution

Geometry Problem 1321 Solution(s)