Yours, Michael Dini Texas Tech Univ.
Euglenoids are eukaryotes, and reproduce by fission.
Presumably they use microtubules for a variety of functions, some related to cell kinesis. They have a nucleus, and mitosis occurs. I infer that they have centrioles. But I checked several references I have handy and found no explicit mention of a centriole in a euglenoid cell. Before mitosis the nucleus migrates forward to the bottom of the reservoir, where the flagella and their basal bodies have already replicated in anticipation of cell division.