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Answer :

1) Since Mia's place is at (5,3) therefore in the I quadrant, and a reflection across the x-axis follows this rule:

Pre-image Image

(x, y) -------------->(x,-y)

(5,3) --------------> (5,-3)

2) So, we can state that Mia is going to have his house in Quadrant II

Hence, the answer is II quadrant