Geometry Problems, Online Education

Problem 723: Squares, Circumscribed Circles, Collinearity. High School, College

In the figure below, the squares ABCD and DEFG are inscribed in the circles O and O', respectively, Point E is on CD and circles O and O' intersect at H. Prove that C, H, G are collinear.
 

Squares, Cricles, Collinear Points
 

 

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Index

Squares, Circles, Collinear

Geometry Problem 722.
Squares, Circumscribed Circles, Collinear points.

Triangle, Orthocenter, Circumcircle, Collinear

Geometry Problem 721.
Triangle, Orthocenter, Circumcircle, Altitude, Collinear points.

Excenter, Intersecting circles

Geometry Problem 720.
Excenter, Intersecting Circles, Angle, Measurement.

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