Polygons in the Coordinate Plane
Explore properties of polygons by plotting their vertices on a coordinate plane, calculating side lengths, 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 points A(1,1), B(4,1), C(4,4), and D(1,4) on the coordinate plane below. Connect the points in order to form a polygon. What type of polygon is formed? Justify your answer.
2. The distance formula is used to calculate the of a segment in the coordinate plane. The midpoint formula helps find the of a segment.
3. A quadrilateral with vertices E(-2,1), F(3,1), G(3,5), H(-2,5) is a because its opposite sides are and .
4. What is the perimeter of a triangle with vertices P(-1,-2), Q(5,-2), and R(2,2)?
10 units
12 units
16 units
18 units
5. Calculate the area of the polygon with vertices J(-3,-1), K(2,-1), L(2,4), M(-3,4).
10 square units
15 square units
20 square units
25 square units
6. A triangle has vertices at (0,0), (6,0), and (x,y). If the area of the triangle is 18 square units, what could be the possible coordinates for (x,y)? Explain your reasoning and provide at least two possible sets of coordinates.