Final answer:
The congruence of quadrilaterals AGHI and ANOP implies that corresponding angles and sides are equal. Therefore, based on congruence, statements (A) G = N, (C) GI = NP, and (D) GH = PO are true. The statement about angles (B) seems to be a typo or nonsensical as written; otherwise, it would also be a true statement if it indicated angle equivalence.
Step-by-step explanation:
The statement provided, AGHI - ANOP, seems to indicate that the quadrilateral AGHI is congruent to quadrilateral ANOP, which means corresponding angles are equal, and corresponding sides are proportional or equal. Let's analyze each statement separately:
(A) If AGHI is congruent to ANOP, then angle G would be equal to angle N, so statement A, G = N, is true.
(B) Likewise, if the figures are congruent, angle H would be equal to angle O, written mathematically as ∠H = ∠O. However, the statement says 2Ο π. Η (which seems to be nonsensical or a typo), but if rewritten correctly, the equivalent angles would make this a true statement.
(C) For sides, GI corresponding to NP would mean GI is equal in length to NP if the quadrilaterals are congruent. Thus, GI = NP is a true statement.
(D) Similarly, GH corresponding to PO would be equal, so GH = PO is also a true statement.
Since all claims are true if we interpret the congurence statement and symbols correctly, we may have a misunderstanding or a typo in the question which leads us to not identify a false statement easily.