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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: 3.5000 (2 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
re: What am I missing? -> The Kosnita Point | Comment 2 of 5 |
(In reply to What am I missing? by Steve Herman)

There is a joke something to the effect that from three numbers a good statistician can generate 22 statistical measures.  

Likewise, from following this site for a while, I have learned of the many very different centers one triangle can have (via definition of "center"). 

Likewise, I just now understand _what_ a reflection triangle is (see, e.g. wikipedia and Wolfram Alpha) and have learned that reversing the reflection is not pretty.
Multiple triangle centers and reversing a reflection come together in this paper, which, in order to answer this problem, I would have to first understand. I am hoping someone will beat me to it.

Edited on July 15, 2020, 4:14 pm
  Posted by Steven Lord on 2020-01-26 21:15:55

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