Question

The vertices of a quadrilateral in the coordinate plane are known. How can the perimeter of the figure be found?

O Use the distance formula to find the length of each side, and then add the lengths.
O Use the slope formula to find the slope of each of side, and then determine if the opposite sides are parallel.
Use the slope formula to find the slope of each of side, and then determine if the consecutive sides are
perpendicular.
Use the distance formula to find the length of the sides, and then multiply two of the side lengths.

Answer 1

The correct method to find the perimeter of a quadrilateral in the coordinate plane is to use the distance formula to find the length of each side and then add the lengths.

Option O: "Use the distance formula to find the length of each side, and then add the lengths." is the appropriate approach. By calculating the distance between each pair of consecutive vertices using the distance formula (d = √((x2 - x1)^2 + (y2 - y1)^2)), you can determine the length of each side. Finally, add up the lengths of all four sides to find the perimeter of the quadrilateral.