Polygons in the Coordinate Plane
Explore properties of polygons by plotting their vertices on the coordinate plane, 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 provide your answers in the space provided. Show all your work for full credit.
1. Plot the following vertices on the coordinate plane below and connect them in order: A(1, 2), B(5, 2), C(5, 6), D(1, 6). What type of polygon is formed?
2. Consider a triangle with vertices P(-2, -3), Q(4, -3), and R(1, 5).
The length of side PQ is .
The perimeter of the triangle PQR is .
The area of the triangle PQR is .
3. A quadrilateral has vertices E(-3, 1), F(2, 1), G(2, -4), H(-3, -4). Which of the following statements is true about this quadrilateral?
It is a trapezoid but not a parallelogram.
It is a rhombus but not a square.
It is a rectangle.
It is an irregular quadrilateral.
4. A polygon with vertices A(0,0), B(3,0), C(3,3), D(0,3) is a square.
True
False
5. A pentagon has vertices J(-4, -1), K(1, -1), L(3, 2), M(0, 5), N(-3, 2). Calculate the area of the pentagon. (Hint: You may want to divide the pentagon into simpler shapes).