W Area and Perimeter in a Coordinate Plane
Example: Graph the polygon with vertices A(-4,2), B(-4,5), C(2,5), & D(2,2).
What's the base of Polygon ABCD? What's the height of Polygon ABCD?, What's the Area? What's the Perimeter?
Six questions total, complete all of them.
#1) Graph the polygon with vertices A(1,-2), B(3,-2), C(3,5), & D(1,5).
What's the base of Polygon ABCD? What's the height of Polygon ABCD?
What is the Area and Perimeter of Polygon ABCD graphed above?
#2) Graph the polygon with vertices (2,1), (2,4), and (7,1)
What is the Area of the triangle graphed above?
#3) Graph the polygon with vertices A(-2,2), B(-2,5), C(2,5), and D(2,2)
What is the Area AND PERIMETER of the rectangle graphed above?
#4) Graph the polygon with vertices (0,0), (2,5), (7,5), & (5,0)
What is the Area of the parallelogram graphed above?
#5) Graph the polygon with vertices (3,5), (4,4), and (3,-1).
What is the Area of the triangle graphed above?
#6) Graph the polygon with vertices (-5,5), (7,5), (7,-2), and (-5,-2).
What is the Area of the rectangle graphed above?
#7) Graph the polygon with vertices A(-2,1), B(-2,5), and C(5,1)
Find the area of the triangle above.
Paper Practice
Use your worksheet to graph and answer these questions:
Plot each set of points on a coordinate plane. Connect the points in the order given. Find the area of each figure.
8) (3, 5), (3, 1), and (5, 1)
9) (0, -4), (0, 0), (-4, 0) and (-4, -4)
10) (-4, 5), (-4, 1), (2, 1) and (2, 5)
11) (3, -2), (8, -2), (7, -6) and (2, -6)
12) Find the perimeter of each figure in #9 and #10
13) Estimate the perimeter of the figure in #11. Are you able to find the exact perimeter? Why or why not?
Challenge- Find the area without using a graph.
14) (-4, -2), (3, -2), (3, 5), (-4, 5)