Polygons in the Coordinate Plane
Explore polygons by plotting their vertices on a coordinate plane and calculating properties like perimeter and area.
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Polygons in the Coordinate Plane
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Follow the instructions for each section. Show all your work for calculations.
1. Plot the following vertices on the coordinate plane below to form a polygon. Then, identify the type of polygon.
Vertices: A(2, 1), B(6, 1), C(6, 5), D(2, 5)
Type of Polygon:
2. Using the polygon from question 1, calculate its perimeter. Show your work.
3. Using the polygon from question 1, calculate its area. Show your work.
4. Which of the following sets of vertices would form a triangle?
(0,0), (1,1), (2,2), (3,3)
(1,2), (4,2), (1,5)
(-1,0), (0,-1), (1,0), (0,1)
(0,0), (5,0), (5,5), (0,5)
5. A square plotted on a coordinate plane will always have four sides of equal and four angles.
6. A quadrilateral has vertices at P(-3, -2), Q(1, -2), R(1, 3), and S(-3, 3). Plot these points and determine if the quadrilateral is a rectangle, a square, or neither. Explain your reasoning.