# Cyclic?

Geometry Level pending

Let $$\tau_{A, B}$$ represent a linear translation in the $$x$$-$$y$$ plane from point $$A$$ to point $$B$$.

Given, the points:

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

If $$\tau_{A, B}\tau_{B,C}\tau_{C,D}\tau_{D,A}(2,8)=(a,b)$$, what is $$a+b$$?

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