Polygons in the Coordinate Plane
Explore properties of polygons plotted on a coordinate plane, including calculating perimeter, area, and identifying types of polygons.
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Polygons in the Coordinate Plane
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Read each question carefully and answer to the best of your ability. Show all your work for full credit.
1. Plot the points A(1,1), B(5,1), C(5,4), and D(1,4) on the coordinate plane below. What type of polygon is formed? Calculate its perimeter and area.
Type of Polygon:
Perimeter:
Area:
2. A triangle has vertices at P(-2, -3), Q(4, -3), and R(1, 2). Plot these points and determine the area of the triangle.
Area of the triangle:
3. Which of the following polygons has vertices at (0,0), (3,0), (3,3), and (0,3)?
Rectangle
Square
Rhombus
Trapezoid
4. The distance formula is used to calculate the of a line segment.
5. A polygon with all sides equal in length but angles not necessarily equal is called a .
6. A quadrilateral has vertices E(-4, -1), F(1, -1), G(1, 3), and H(-4, 3). Find the coordinates of the midpoint of diagonal EG.