Final answer:
The question is about matching polygons with their perimeters. To find a polygon's perimeter, one adds the lengths of all its sides, using the Pythagorean theorem if necessary for diagonal lines.
Step-by-step explanation:
The student's task involves matching polygons with their corresponding perimeters. To determine a polygon's perimeter, we would measure and add up the lengths of all sides of the polygon. Since no specific polygons or measurements are provided in the question, we can discuss the process in general terms. For a square or rectangular polygon, the perimeter is the sum of the lengths of all four sides. For a polygon with more sides (like a pentagon or hexagon), you sum the lengths of each side. The measurement of the perimeter may sometimes require the use of the Pythagorean theorem if the polygon includes diagonal lines or if we're working with a complex shape where we need to calculate the length of a side that is not directly measured.