GMAT Sentence Correction (SC) | Re: can someone elabprate the concept behind this question !!

The part "their geometrical symmetries embellished with old and new iconography and in a style that varies from woman to woman and house to house" is an absolute phrase modifier. Following is an excerpt from Manhattan SC guide:

A few GMAT sentences use a sophisticated modifier called an Absolute Phrase. Absolute phrases are composed of a noun plus a noun modifier. These phrases do not have to modify what they touch; rather, they modify the main clause in some
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