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Reflection Triangle (Posted on 2020-01-24) Difficulty: 3 of 5
Given a reference triangle △ABC, a reflection triangle △A′B′C′ is generated by reflecting each vertex about the opposite side, for example A′ is generated by reflecting vertex A about side BC. Now, suppose the vertices A′, B′ and C′ are given, how can you find the original vertices of the original triangle △ABC?

No Solution Yet Submitted by Danish Ahmed Khan    
Rating: 4.0000 (1 votes)

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Solution re(2): What am I missing? -> The Kosnita Point | Comment 3 of 5 |
(In reply to re: What am I missing? -> The Kosnita Point by Steven Lord)

Right, theorem 4 clears it up. So we "simply" construct the nine-point center N (see here), draw its pedal triangle, construct the centroid G, then throw the pedal triangle into the h(G,4) homothety and - quite effortlessy - we have A', B' and C'.

Sometimes it's so easy ;)

  Posted by JLo on 2020-01-27 05:52:34
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