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.

## Wednesday, November 27, 2019

### Dynamic Geometry 1449: Salmon Line

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https://photos.app.goo.gl/33524ymivbNG4dpB6

ReplyDeleteDefine points E’, F’, G’ per sketch

Note that E’, F’, G’ are midpoints of AE, AF, AG

C, G,D are the image of O2,G, O3 in the Homothety transformation

So C, G, D are collinear.

Similarly C,B,E and B, F, D are colinear.

Quadrilateral ABCD is cyclic => ∠ (ABE)= ∠ (ADG) => ∠ (EAB)= ∠ (DAG) ( complementary angles)

So ∠ (BFE)= ∠ (GFD) => E,F,G are colinear