Give the consecutive sides of the polygon. aAB, BC, CD bAB, BC, CD, EF cAB, EF, GH, CD, FG, BC, DE, FG dAB, BC, CD, DE, EF, FG, GH, HA

To determine the consecutive sides of the polygon, we need to consider the definitions and options provided.

A polygon is defined by its sequence of sides, where consecutive sides are adjacent edges of the polygon that connect one vertex to another.

Let’s examine the options:

1. Option a: AB, BC, CD

   • This set has three sides, which can form a polygon, but we are missing additional sides to close a shape (assuming it's a more complex polygon).

2. Option b: AB, BC, CD, EF

   • This option has four sides, still a possibility of forming a polygon, but still lacks sides to form a closed shape.

3. Option c: AB, EF, GH, CD, FG, BC, DE, FG

   • This is a longer list, but might not represent a simple polygon since it seems to contain repeats and disjoint pairs.

4. Option d: AB, BC, CD, DE, EF, FG, GH, HA

   • This option represents a closed polygon with eight consecutive sides. The additional side HA indicates that it connects back to the starting vertex A, completing the polygon.

Conclusion

The best choice indicating the consecutive sides of a closed polygon is Option d: AB, BC, CD, DE, EF, FG, GH, HA. This sequence not only provides a continuous path but also returns to the starting point, satisfying the condition of a polygon.