Shape and hybridization of ${\mathrm{IF}}_5$ respectively are

 

Count the no. of bond pairs and lone-pair around the central atom. 

${\mathrm{IF}}_5:$ Summation of group number $= 42$

Bond pairs $=\frac{42}{8}=5\left(\text{ Residue 2 }\right)$

Lone pair $=\frac{2}{2}=1$

5 bond pairs, 1 lone pair means the geometry is square pyramidal.