Geometry Problem. Post your solution in the comments box below.
Level: Mathematics Education, High School, Honors Geometry, College.
Click the figure below to see the complete problem 870.
Thursday, April 11, 2013
Problem 870: Triangle, Median, Squares, Centers, Vertices, Collinear Points, Midpoint
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Consider the group of homothety rotation, H(k,x), k represent the scale factor and x represent the anti-clockwise rotational angle.
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H(1, 90°) map ABC to DBH
H(sqrt2, 45°) map ABC to EBM
H(1/sqrt2, 45°) map ABC to O1BO3
The ratio of line segment is preserved under the group action.
q.e.d.