the vertices of a quadrilateral in the coordinate plane are known. how can the perimeter of the figure be…

the vertices of a quadrilateral in the coordinate plane are known. how can the perimeter of the figure be found?\nuse the distance formula to find the length of each side, and then add the lengths.\nuse the slope formula to find the slope of each of side, and then determine if the opposite sides are parallel.\nuse the slope formula to find the slope of each of side, and then determine if the consecutive sides are perpendicular.\nuse the distance formula to find the length of the sides, and then multiply two of the side lengths.

the vertices of a quadrilateral in the coordinate plane are known. how can the perimeter of the figure be found?\nuse the distance formula to find the length of each side, and then add the lengths.\nuse the slope formula to find the slope of each of side, and then determine if the opposite sides are parallel.\nuse the slope formula to find the slope of each of side, and then determine if the consecutive sides are perpendicular.\nuse the distance formula to find the length of the sides, and then multiply two of the side lengths.

Answer

Explanation:

Step1: Recall perimeter concept

Perimeter is sum of side - lengths.

Step2: Recall distance formula

To find side - lengths in coordinate plane, use distance formula $d = \sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}$ for two points $(x_1,y_1)$ and $(x_2,y_2)$.

Step3: Determine method for perimeter

Find length of each side with distance formula and add them.

Answer:

Use the distance formula to find the length of each side, and then add the lengths.