British spelling: capable of being catechised or taught through catechesis; able to be instructed in religious doctrine through questions and answers.
From 'catechise' + '-able' suffix (meaning capable of). The '-ise' suffix is the British spelling variant of '-ize,' so this form follows British morphological conventions for adjective formation.
The British spelling adds 'catechisable' to their dictionary while Americans use 'catechizable'—it's a fun example of how spelling variants can split and both be 'correct' depending on which English you speak.
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