Polygons in the Coordinate Plane

Explore the properties of polygons by plotting their vertices on a coordinate plane and calculating perimeter, area, and other geometric characteristics.

Grade 9 Math GeometryPolygons in the Coordinate Plane

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Includes

2 Short AnswerFill in the BlanksMultiple ChoiceLong Answer

Standards

CCSS.MATH.CONTENT.HSA.APR.B.3CCSS.MATH.CONTENT.HSG.GPE.B.7

Topics

GeometryCoordinate PlanePolygonsGrade 9Math

7 sections · Free to use · Printable

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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 following points on the coordinate plane below and connect them in order: A(1, 2), B(5, 2), C(5, 5), D(1, 5). What type of polygon is formed?

2. A polygon with vertices at (0,0), (4,0), and (2,3) forms a .

3. The perimeter of a rectangle with vertices P(0,0), Q(6,0), R(6,4), and S(0,4) is units.

4. Calculate the area of the polygon with vertices E(-2, -2), F(3, -2), G(3, 4), H(-2, 4).

5. Which of the following polygons has vertices (1,1), (3,1), (3,3), (1,3)?

Triangle

Square

Pentagon

Trapezoid

6. A quadrilateral has vertices J(-3, 1), K(1, 3), L(4, 0), and M(0, -2). Prove that this quadrilateral is a parallelogram by showing that its opposite sides are parallel.