Answer
True
Work Step by Step
Standard form of an hyperbola is $\dfrac{x^2}{a^2}-\dfrac{y^2}{b^2}=1$
The statement is true because the graph of the equation $\dfrac{x^2}{4}-\dfrac{y^2}{4}=1$ and the graph of the equation $\dfrac{y^2}{4}-\dfrac{x^2}{4}=1$ defines a hyperbola whose transverse axis is parallel to $x$-axis and the point on the graph of a hyperbola approaches to the same aysmptotes .