The key condition for ilḥāq is not resemblance in a single finite form. The verbal-noun pattern must also correspond to the quadriliteral pattern to which the word is assimilated.
دَحْرَجَة is a familiar verbal noun of the unaugmented quadriliteral pattern. Assimilated verbal nouns are assessed in relation to that pattern family.
An extra consonant or a superficial similarity in the past-tense form alone does not establish ilḥāq.
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Why the verbal noun matters
Mulḥaq bi-Rubāʿī: Definition, Two Groups and Nine Patterns
The key condition for ilḥāq is not resemblance in a single finite form. The verbal-noun pattern must also correspond to the quadriliteral pattern to which the word is assimilated.
دَحْرَجَة is a familiar verbal noun of the unaugmented quadriliteral pattern. Assimilated verbal nouns are assessed in relation to that pattern family.
An extra consonant or a superficial similarity in the past-tense form alone does not establish ilḥāq.