Question

1. what is the shape shown?

a convex nonagon
a concave pentagon
a convex heptagon
a concave hexagon

Explanation:

1. First, count the number of sides of the shape. By carefully examining the figure, we can see that it has 6 sides. A hexagon has 6 sides, a pentagon has 5, a heptagon has 7, and a nonagon has 9. So we can eliminate options with incorrect side counts (pentagon, heptagon, nonagon).
2. Next, determine if it's concave or convex. A concave polygon has at least one interior angle greater than 180 degrees (or a "dent" in the shape). The given shape has a indentation, so it's concave. Combining the number of sides (6, hexagon) and the concavity, we get a concave hexagon.

Answer:

D. A concave hexagon (assuming the options are labeled A - D as per typical multiple - choice, with the last option being "A concave hexagon")