Ice hockey skates are not the same as figure skates. If you are playing ice hockey, you will want to get hockey-specific skates instead of using figure skates you have rented or may own.
Hockey skate boots are designed specifically for athletic use and typically have reinforced panels, a hard toe, and ankle support on either side of the Achilles tendon. The high, structure back of the skates provides extra support and protection. The front tongue is flexible and rises higher than the quarter panels. Most skates feature a soft boarder on the tongue and on the inside of the skate for added comfort and reduced friction that leads to chafing and blisters.
Many adult skates also have coordinating youth styles. If your child outgrows their youth skates, they may be able to continue in the same style of skate they prefer into the adult sizes. Be sure to pick the appropriate level of skate. Recreational players and higher level players need different skates. There is no need to break the bank and buy expensive skates for a player who may play a few months a year and then uses their skates to skate with friends as well. Higher end skates have more technical aspects to the boot and blade that allow them to play at their highest possible level.