Cyclic?

Geometry Level pending

Let τA,B\tau_{A, B} represent a linear translation in the xyxy-plane from point AA to point BB.

Given the points

  • A=(21,42)A=(21,42)
  • B=(32,43)B=(32,43)
  • C=(12,6)C=(-12,6)
  • D=(112,206),D=(-112,206),

if τA,BτB,CτC,DτD,A(2,8)=(a,b)\tau_{A, B}\tau_{B,C}\tau_{C,D}\tau_{D,A}(2,8)=(a,b), what is a+b?a+b?

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