Final answer:
The meter of the provided Shakespearean poetic passage is iambic pentameter, characterized by lines with five sets of iambs and ten syllables each.
Step-by-step explanation:
The meter of the poetic passage "Let me not to the marriage of true minds Admit impediments. Love is not love Which alters when it alteration finds, Or bends with the remover to remove" from William Shakespeare is iambic pentameter. This can be identified by examining the rhythmic structure of the lines, where each line typically has five sets of iambs (unstressed followed by stressed syllables), making up about ten syllables per line. The passage given is from one of Shakespeare's sonnets, which are known for their use of iambic pentameter. Sonnet 18, with the line "Shall I compare thee to a summer's day?" is a prime example illustrating this poetic meter.