Plan and Make a Model You have been selected to design a stain glass window for the city. It must include the following: 1. The picture must have a design or theme. 2. You must choose (at least) 5 different polygons. (No curves allowed)

Designs of a stain glass window for the city:

Square type window:

$\"\"$

Pentagon type window:

$\"\"$

Hexagon type window:

$\"\"$

Triangle type window:

$\"\"$

Parallelogram type window:

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Consider thr graph paper with the dimensions 8.5 by 11 in.

Draw the square type window on the graph paper.

Label the vertices.

$\"\"$

Observe the figure,

Vertices of the square ABCD are $\"\"$ and $\"\"$ .

Find the length of the sides of the triangle using distance formula.

Distance between two points $\"\"$ and $\"\"$ is $\"\"$ .

$\"\"$ .

$\"\"$

$\"\"$ .

Consider the graph paper with the dimensions 8.5 by 11 in.

Draw the pentagon type window on the graph paper.

Label the vertices.

$\"\"$

Observe the figure,

Vertices of the square ABCDE are $\"\"$ and $\"\"$ .

Find the length of the sides of the pentagon using distance formula.

Distance between two points $\"\"$ and $\"\"$ is $\"\"$ .

$\"\"$ .

Draw the hexagon type window on the graph paper.

Label the vertices.

$\"\"$

Observe the figure,

Vertices of the hexagon ABCDE are $\"\"$ and $\"\"$ .

Find the length of the sides of the triangle using distance formula.

Distance between two points $\"\"$ and $\"\"$ is $\"\"$ .

$\"\"$ .

$\"\"$

$\"\"$ .

$\"\"$

$\"\"$ .

Draw the triangle type window on the graph paper.

Label the vertices.

$\"\"$

Observe the figure,

Vertices of the hexagon ABCDE are $\"\"$ and $\"\"$ .

Find the length of the sides of the triangle using distance formula.

Distance between two points $\"\"$ and $\"\"$ is $\"\"$ .

$\"\"$ .

$\"\"$

$\"\"$ .

$\"\"$

$\"\"$ .

Consider thr graph paper with the dimensions 8.5 by 11 in.

Draw the Parallelogram type window window on the graph paper.

Observe the figure,

Vertices of the triangle ABC are $\"\"$ and $\"\"$ .

Find the length of the sides of the triangle using distance formula.

Distance between two points $\"\"$ and $\"\"$ is $\"\"$ .

$\"\"$ .

$\"\"$

$\"\"$ .

\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \

Polygon	Model	Actual dimensions
Name	triangle
Side $\"\"$	$\"\"$	$\"\"$
Side $\"\"$	$\"\"$	$\"\"$
Side $\"\"$	$\"\"$	$\"\"$

Observe the table:

The actual dimensions are $\"\"$ .

$\"\"$

\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \

Polygon	Model	Actual dimensions
Name	Parallelogram
Side $\"\"$	$\"\"$	$\"\"$
Side $\"\"$	$\"\"$	$\"\"$
Side $\"\"$	$\"\"$	$\"\"$
Side $\"\"$	$\"\"$	$\"\"$

$\"\"$ and $\"\"$

Label the vertices.

$\"\"$

Observe the figure,

Vertices of the triangle ABC are $\"\"$ and $\"\"$ .

Find the length of the sides of the triangle using distance formula.

Distance between two points $\"\"$ and $\"\"$ is $\"\"$ .

$\"\"$ .

$\"\"$ $\"\"$

$\"\"$

$\"\"$ $\"\"$ $\"\"$

$\"\"$

Part 2: Actual Measurements After you complete your model, the city asked you to provide them with the actual measurements of your design. Since your final piece measures 170 inches by 220 inches, you need to provide the city with the exact measurements of your design and each figure so that the city can buy all of your materials. (Keep in mind that your original piece was on a standard sheet of 8.5 by 11 inch graph paper.) Create a table for each polygon with your data, showing all calculations.

The table should include:

1. All of the side lengths of the model.

2. The proportions and calculations that show your actual dimensions.

3. The actual dimensions of the stained glass window.