Dynamic Geometry 1448: Simson Line

Interactive step-by-step animation using GeoGebra. Post your solution in the comment box below.
Level: Mathematics Education, High School, Honors Geometry, College.

Details: Click on the figure below.

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Dynamic Geometry: Simson Line of a Triangle. HTML5 Animation for Tablets (iPad, Nexus..)

GeoGebra, HTML5 Animation for iPad and Nexus
Click the figure to open the interactive illustration.

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Geometry Problems 671-680: Triangle, Circle, Congruence, Geometric Mean, Tangent, 45 Degrees, Collinear Points, Simson Line, Concentric, Similarity

Ten Geometry Problems
Click the figure below to view the ten problems.

Zoom Problems 671 - 680

Level: High School, College geometry

Problem 678: Triangle, Simson Line, Circumcircle, Tangent, Parallel, Perpendicular, Collinear Points

Geometry Problem
Level: Mathematics Education, High School, Honors Geometry, College.

Click the figure below to see the complete problem 678.

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The Simson Line: Theorems and Problems Index

Index
Click the figure below to see the The Simson Line, Theorems and Problems Index


See more:
The Simson Line Index
Level: High School, SAT Prep, College geometry

Angle between two Simson Lines.

In the illustration, the angle between the Simson lines SIM and S'I'M' of the points P and P' is half the measure of the arc PP'.


Continue reading at:
gogeometry.com/simsonangletheorem1.html

Simson Line

The Simson line is the Line SIM containing the feet S, I, and M of the perpendiculars from a point P on the circumcircle of a triangle ABC to the sides (or their extensions) of the triangle.


Continue reading at:
gogeometry.com/simsontheorem1.html

Interactive Simson Line

Proposition
Given a triangle ABC and P a point on its circumcircle, as shown. Prove that the feet D, E, and F of the perpendiculars drawn from P to the sides (or their extensions) are collinear. The line DEF is called the Simson line.



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Triangle, Circumcircle, Perpendiculars, Collinear feet points. Level: High School, SAT Prep, College geometry

Post your solutions or ideas in the comments.