Isn't this math about a parallelogram wrong?

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This is the math(b). I think this math is wrong as both OA and OC are parallel to the x-axis; it is impossible for two adjacent sides of a parallelogram to be parallel. So, isn't the math wrong?

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The equation of $OC$ is $y=2x$ which means it will pass through $x$ axis at $(0,0)$ so $OC$ is not parallel to $x$ axis.