Below is a regular pentagon with vertex points A1, A2, A3, A4, and A5. The $\otimes$ operation on the vertices of this pentagon is defined as - for each vertex A: $\mathrm { A } \otimes \mathrm { A } = \mathrm { A }$ - for different vertices $A$ and $B$: $A \otimes B$ is the vertex point located on the perpendicular bisector of the line segment connecting points $A$ and $B$. Given that $\left( A _ { 1 } \otimes A _ { 3 } \right) \otimes X = A _ { 5 }$, which of the following is vertex $X$? A) $\mathrm { A } _ { 1 }$ B) $A_2$ C) $A_3$ D) $A_4$ E) $A_5$
Below is a regular pentagon with vertex points A1, A2, A3, A4, and A5.
The $\otimes$ operation on the vertices of this pentagon is defined as
- for each vertex A: $\mathrm { A } \otimes \mathrm { A } = \mathrm { A }$
- for different vertices $A$ and $B$: $A \otimes B$ is the vertex point located on the perpendicular bisector of the line segment connecting points $A$ and $B$.
Given that $\left( A _ { 1 } \otimes A _ { 3 } \right) \otimes X = A _ { 5 }$, which of the following is vertex $X$?
A) $\mathrm { A } _ { 1 }$
B) $A_2$
C) $A_3$
D) $A_4$
E) $A_5$