Dynamic Geometry 1454: Intersecting Circles, Perpendicular Lines, Cyclic Quadrilateral

Given circles O and Q intersecting at B and D. A, B, C are collinear points and A, D, E are collinear points. Prove that AO is perpendicular to CE.

See solution below


Static Diagram of problem 1454

Dynamic Geometry 1454: Intersecting Circles, Perpendicular Lines, Cyclic Quadrilateral, Collinear points. Using GeoGebra


Poster of the problem 1454 using iPad Apps

Poster of Problem 1454, Intersecting Circles, Perpendicular Lines, Cyclic Quadrilateral, Collinear points. Using iPad

Search gogeometry.com

Classroom Resource:
Interactive step-by-step animation using GeoGebra

This step-by-step interactive illustration was created with GeoGebra.

  • To explore (show / hide): click/tap a check box.
  • To stop/play the animation: click/tap the icon in the lower left corner.
  • To go to first step: click/tap the "Go to step 1" button.
  • To manipulate the interactive figure: click/tap and drag the blue points or figures.

GeoGebra is free and multi-platform dynamic mathematics software for all levels of education that joins geometry, algebra, tables, graphing, statistics and calculus application, intended for teachers and students. Many parts of GeoGebra have been ported to HTML5.

Recent Additions

Geometry Problems
Open Problems
Visual Index
Ten problems: 1411-1420
All Problems
Circle
Intersecting Circles
Perpendicular lines
Collinear Points
Cyclic Quadrilateral
Dynamic Geometry
GeoGebra
HTML5 and Dynamic Geometry
iPad Apps
View or Post a solution
 


Geometry Problem 1454 Solution(s)