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.

## Saturday, December 7, 2019

### Dynamic Geometry 1451: Orthopole of a Line

Labels:
animation,
concurrent,
GeoGebra,
ipad,
line,
orthopole,
perpendicular,
step-by-step,
triangle

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https://photos.app.goo.gl/KnTd7PoVyZg2faVS7

ReplyDeleteLet A’A’’ meet B’B” at P

And C’C’’ meet B’B” at Q ; BB’ meet AC at D

Triangle BDC similar to A’B’P ( case AA)

So DC/B’P= BD/A’B’ => B’P= DC x A’B’/ BD

Triangle BDA similar to C’B’Q ( case AA) => B’Q=DA x C’B’/BD

Since AA’//BB’//CC’ => DC x A’B’= DA x C’B’

So B’P=B’Q => P coincide to Q