Answer:
A) HBDF is a rhombus; ACEG is a rectangle
B) The diagonals are congruent; the listed half-diagonals are congruent
Explanation:
A) A quadrilateral (HBDF) with equal length sides (given) is a rhombus (by definition).
A quadrilateral (ACEG) with right-angle corners is a rectangle (by definition).
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B) The diagonals AE and GC are those of a rectangle, so are congruent and bisect each other. Hence, the pieces are all congruent.