For consonants, IPA describes 'place of articulation': the part of the mouth the tongue makes contact with, and 'manner of articulation': how the sound is produced there.
Speakers may use the blades of their tongues or the tips of their tongues for different sounds. There may be more terminology/parts of the tongue I don't know the name of.
What's the name of this property?
In the same way 'place of articulation' is the name of the property of contact point, or 'height' is the name of the property of the vertical position of the tongue/jaw when producing vowels.