Sequence B, a reflection over line HI followed by a translation 6 units right and 3 units down, accurately maps quadrilaterals HIJK onto ABCD, preserving congruence. The correct answer is Option B.
Sequence B correctly transforms quadrilateral HIJK onto ABCD. A reflection over line HI preserves orientation and ensures corresponding vertices align.
Subsequently, a translation 6 units to the right and 3 units down positions the reflected quadrilateral onto its congruent counterpart. In contrast, Sequence A introduces a rotation that alters the orientation of corresponding vertices, leading to a mismatch between the two quadrilaterals.
Thus, Sequence B, with a reflection followed by a translation, adheres to the congruence of HIJK and ABCD, providing the accurate transformation for the given geometric scenario on the grid. Option B is the answer.