Polygon abcd has vertices a(0, 2), b(0, 8), c(7, 8), and d(7, 2). what is polygon abcd and its perimeter? (hint: draw the polygon on the coordinate plane and find the slopes of each side.) a. rectangle; p = 26 linear units b. square; p = 42 units2 c. parallelogram; p = 42 linear units d. trapezoid; p = 26 linear units,

Option A.

Step-by-step explanation:

The vertices of Polygon ABCD are A(0, 2), B(0, 8), C(7, 8), and D(7, 2).

Plot all vertices on the coordinate place.

If a line passes through two points and , then the slope of the line is

First we need find the slope of each sides, using the above formula.

The slope of vertical lines is ∞ and slope of horizontal line is 0. It means sides AB and CD are vertical lines and sides BC and AD are horizontal lines.

Vertical and horizontal lines are perpendicular to each other. It means all interior angles of the polygon are right angles.

From the below figure it is clear that

Opposite sides are equal and interior angles are right angles, so the polygon is a rectangle.

Perimeter of the polygon is

Perimeter of polygon ABCD is 26 linear units.

Therefore, the correct option is A.