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.