Polygons in the Coordinate Plane

Explore polygons by plotting vertices on a coordinate plane, identifying shapes, and calculating perimeter and area for Grade 7 math students.

Grade 7 Math GeometryPolygons in the Coordinate Plane

Use This Worksheet

Includes

2 Short AnswerFill in the BlanksMultiple ChoiceTrue / False

Standards

CCSS.MATH.CONTENT.7.G.A.2CCSS.MATH.CONTENT.7.G.B.6

Topics

mathgeometrycoordinate planepolygonsgrade 7

7 sections · Free to use · Printable

← More Math worksheets for Grade 7

Polygons in the Coordinate Plane

Name:

Date:

Score:

Read each question carefully and follow the instructions. Plot points accurately on the coordinate plane provided. Show all your work for calculations.

1. Plot the following vertices on the coordinate plane and connect them to form a polygon. What type of polygon is formed?

A(1, 2), B(5, 2), C(5, 6), D(1, 6)

Type of polygon:

2. A triangle has vertices at E(-3, 1), F(2, 1), and G(2, 5).

The x-coordinate of vertex E is .

The y-coordinate of vertex F is .

The length of the side EF is units.

3. Consider the rectangle with vertices at P(-4, -2), Q(3, -2), R(3, 4), and S(-4, 4).

a. What is the length of side PQ? Show your calculations.

b. What is the length of side QR? Show your calculations.

c. Calculate the perimeter of the rectangle. Show your work.

d. Calculate the area of the rectangle. Show your work.

4. Which of the following sets of vertices forms a square?

(0,0), (3,0), (3,2), (0,2)

(-1,-1), (2,-1), (2,2), (-1,2)

(1,1), (4,1), (4,4), (1,4)

(0,0), (4,0), (4,3), (0,3)

5. A polygon with vertices (0,0), (5,0), and (0,5) is an isosceles right triangle.

True

False