Polygons in the Coordinate Plane

Polygons in the Coordinate Plane

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)?

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.