Write the Word or Phrase That Best Completes Each Statement $$\frac { x ^ { 2 } } { 4 } - \frac { y ^ { 2 } } { 16 } = 1 \text { and } \frac { y ^ { 2 } } { 16 } - \frac { x ^ { 2 } } { 4 } = 1$$

Short Answer

Write the word or phrase that best completes each statement or answers the question.
-A student thinks that the graphs of the equations $$\frac { x ^ { 2 } } { 4 } - \frac { y ^ { 2 } } { 16 } = 1 \text { and } \frac { y ^ { 2 } } { 16 } - \frac { x ^ { 2 } } { 4 } = 1$$ are identical. Is the student correct? Explain.