The failure of the Treiman-Yang test of one-pion exchange in the reactions $K^{+}p\to K^0{\pi }^0{\Delta }^{++}$ and $K^{+}{\pi }^{-}{\Delta }^{++}$ for c.m. energies from 2.5 to 5.0 GeV is shown to have a simple dependence on $t^{\prime }$. We find an empirical dynamic $z$ axis with respect to which the $K$-meson angular distributions are independent of azimuth. This axis, which depends on $t^{\prime }$, is seen to be equivalent to the axis of Donohue and Högaasen in the neighborhood of the $K^{*}\mathrm{}\left(0.89\right)\mathrm{}$.

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