Plasmodium undergoes multiple fission — the nucleus divides repeatedly, forming many daughter nuclei, and then the cytoplasm splits simultaneously to produce many daughter cells at once.
Leishmania undergoes binary fission — the cell splits into two equal halves, but in a definite orientation (longitudinal, in relation to its whip-like structure).
Source: Chapter 7, Section 7.2.1 – Fission
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The key distinction the examiner wants is:
Don't confuse Leishmania with Amoeba — Amoeba also does binary fission but in any plane. Leishmania's fission is directional. Mentioning the whip-like structure earns a mark.