Final answer:
AACE and ABCE, assuming all four points are distinct, each describe a figure with four distinct points, making them both quadrilaterals. Thus, the answer to the question is option (D), which states AACE and ABCE are both quadrilaterals.
Step-by-step explanation:
To answer the question regarding what we know about AACE and ABCE, we first need to recognize that both labels refer to shapes determined by the points A, B, C, and E. Based on the standard nomenclature in geometry, we can infer that AACE and ABCE are names reflecting the vertices of two geometric figures.
Knowing that a triangle has three sides and a quadrilateral has four, if we assume that these are distinct points and do not repeat, then AACE would describe a shape with at least four points, making it a quadrilateral. Similarly, ABCE would also describe a shape with four distinct points, indicating it is a quadrilateral as well. Therefore, option (D) is correct, stating that both AACE and ABCE are quadrilaterals.
Other considerations such as the sum of angles in a triangle being 180 degrees do not directly apply here since we are not dealing with the internal angles but rather the definition of the figures based on their vertices.