Polygons on Coordinate Planes

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Coordinate plane with polygon illustration

📍 Part 1: Plotting and Identifying Polygons

1. Plot the vertices A(1,2), B(1,5), C(4,5), D(4,2) on the coordinate plane below. Connect the points to form a polygon.

What type of polygon did you create?

Triangle

Rectangle

Pentagon

Hexagon

2. Plot the vertices E(2,1), F(6,1), G(4,4) on the coordinate plane below. Connect the points to form a polygon.

How many sides does this polygon have? ________

3. Which of the following best describes how to find the length of a horizontal side on a coordinate plane?

Add the x-coordinates

Subtract the x-coordinates and find the absolute value

Add the y-coordinates

Multiply the coordinates

📏 Part 2: Calculating Side Lengths

4. Using the rectangle from Question 1 with vertices A(1,2), B(1,5), C(4,5), D(4,2), calculate the following side lengths:

a) Length of side AB (vertical side): ________ units

b) Length of side BC (horizontal side): ________ units

5. Calculate the perimeter of the rectangle from Question 1.

Perimeter = ________ units

6. For the triangle from Question 2 with vertices E(2,1), F(6,1), G(4,4), find the length of the horizontal side EF.

Length of side EF = ________ units

🧮 Part 3: Word Problem

7. Sarah is designing a rectangular garden plot on a coordinate grid. The corners of her garden are located at points P(3,2), Q(3,7), R(8,7), and S(8,2).

a) What is the length of the garden? ________ units

b) What is the width of the garden? ________ units

c) Sarah wants to put a fence around the entire perimeter of her garden. How many units of fencing does she need?

8. Explain in your own words how you can use coordinates to find the length of a side that is parallel to the x-axis or y-axis.

Polygons on Coordinate Planes

Polygons on Coordinate Planes

📍 Part 1: Plotting and Identifying Polygons

📏 Part 2: Calculating Side Lengths

🧮 Part 3: Word Problem

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