Step 1: Understanding the geometry of the species.
The geometry of the species depends on the electron pair repulsion and the number of bonding atoms. \( \text{[Br}_3\text{]}^+ \) has a linear geometry, \( \text{[Br}_3\text{]}^- \) has a trigonal bipyramidal geometry, and \( \text{[BrF}_3\text{]} \) has a trigonal bipyramidal geometry.
Step 2: Analyzing the options.
(A) Correct: This is the correct geometry configuration for the species.
(B), (C), (D): Incorrect, as these do not correspond to the correct geometries for these species.
Step 3: Conclusion.
The correct answer is (A).
