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Problem of the Day #309: Reflecting a Triangle January 22, 2012

Posted by Alex in : potd , trackback

$\triangle ABC$ has coordinates located at $(1, 1)$, $(-2, 1)$, and $(2, 0)$. When $\triangle ABC$ is reflected across the line $y=kx$, the total area covered by $\triangle ABC$ and its image is $\frac{3[ABC]}{2}$. Find $k$.

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