Wednesday, November 27, 2019

Dynamic Geometry 1449: Salmon 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.

Dynamic Geometry 1449: Salmon Line. Using GeoGebra.

1 comment:

    Define 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