بَيْتُ الْمُعَلِّمِ هَذَا — this house of the teacher.
بَيْتُ هَذَا الْمُعَلِّمِ — the house of this teacher.
سَيَّارَةُ أُسْتَاذِي هَذِهِ — this car of my teacher. هَذِهِ is feminine because the pointed-to noun سَيَّارَةُ is feminine.
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Two More Clear Contrasts
Demonstratives inside an Idafah
بَيْتُ الْمُعَلِّمِ هَذَا — this house of the teacher.
بَيْتُ هَذَا الْمُعَلِّمِ — the house of this teacher.
سَيَّارَةُ أُسْتَاذِي هَذِهِ — this car of my teacher. هَذِهِ is feminine because the pointed-to noun سَيَّارَةُ is feminine.