Step 1: We know that angle cap A cap b cap c is congruent to angle cap f cap g cap h because all right angles are congruent. Step 2: We know that angle cap b cap A cap c is congruent to angle cap g cap f cap h because corresponding angles of parallel lines are congruent. Step 3: We know that line segment cap b cap c is congruent to line segment cap g cap h because it is given. Step 4: triangle cap A cap b cap c is congruent to triangle cap f cap g cap h because of the
The triangles have two pairs of congruent angles: ∠ABC ≅ ∠FGH and ∠BAC ≅ ∠GFH. The congruent sides BC and GH are not the sides included between those two angles, so the triangles are congruent by AAS. The correct choice is AAS congruence theorem.
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