# 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.

## Static Diagram of problem 1454

## Poster of the problem 1454 using iPad Apps

### 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