Question

fill in the blank and dropdown menus to form a true statement below.

the polygon above has 4 sides. it is a convex dropdown menu with options: pentagon, nonagon, hexagon, quadrilateral.

Explanation:

Step1: Count the sides

The polygon in the image has 4 sides (by visually inspecting the number of line segments connecting the vertices).

Step2: Identify the polygon type

A polygon with 4 sides is called a quadrilateral. Among the dropdown options, "quadrilateral" matches the number of sides (4). The other options: pentagon (5 sides), nonagon (9 sides), hexagon (6 sides) don't match 4 sides. Also, it's a convex polygon as all interior angles seem to be less than 180 degrees and the vertices point outwards.

Answer:

The polygon above has 4 sides. It is a convex quadrilateral. (So the dropdown should be filled with "quadrilateral")