What is the perimeter of a polygon with vertices at (−2, 1) , (−2, 7) , (1, 11) , (4, 7) , and (4, 1) ? enter your answer in the box. do not round any side lengths.

Each edge is given by the distance formula, which is the Pythagorean Theorem. When one of the coordinates is the same, we can shortcut that.

A(−2, 1) , B(−2, 7), C(1, 11), D(4, 7), E(4, 1)

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when rotating a figure 180 degrees, imagine that you are able to take the figure and turn it clockwise or counterclockwise around a center point. to rotate a figure 180 degrees, you will need to apply the rule (x, y) → (-x, -y). start by using a coordinate grid with coordinates for each vertex of the figure. the center point of the coordinate grid is located at (0, 0), which is what you will rotate the figure around. write down the original coordinates of the shape you are going to rotate. then, apply the rule. for example, coordinate (1, 2) becomes (-1, -2). another example would be, coordinate (-4, -2) becoming (4, 2). after you change each original coordinate to the rotated coordinate, you will draw your new figure.

step-by-step explanation: