The xenon compound(s) that are iso-structural with ${IBr}_{2}^{-}$ and ${BrO}_{3}^{-}$ respectively are

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Bent ${XeF}_{2}$ and pyramidal ${XeO}_{3}$

Linear ${XeF}_{2}$ and tetrahedral ${XeO}_{3}$

Linear ${XeF}_{2}$ and pyramidal ${XeO}_{3}$

Bent ${XeF}_{2}$ and planar ${XeO}_{3}$

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Detailed Solution

In ${IBr}_{2}^{-}$ , the two bromine atoms are present in the axial positions of the iodine and the 3 lone pairs occupy the equatorial positions, forming a linear shape. And in case of ${BrO}_{3}^{-}$ bromine is the central atom to which three oxygen atoms are doubly bonded and 1 lone pair is present, giving it a pyramidal geometry.
The fluoride of xenon that has linear structure is ${XeF}_{2}$ having two bond pair and three lone pair of electrons which is similar to ${IBr}_{2}^{-}$ . The oxide of xenon that has pyramidal geometry is ${XeO}_{3}$ , containing three bond pairs and 1 lone pair of electrons which is similar to that of ${BrO}_{3}^{-}$ .