Geometry Similar Polygons Assignment

Everything should be in the assignment, its not a long assignment it’s straight to the point, I am just busy.

Geometry Similar Polygons Assignment
Part 1: 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)
i. Triangle
i. Rhombus
ii. Quadrilateral
ii. Pentagon
iii. Parallelogram
iii. Hexagon
iv. Trapezoid
iv. Heptagon
v. Square
v. Octagon
3. Use graph paper (8.5 by 11 in) and a straight edge to sketch your model.
4. For each polygon
a. Label the vertices.
b. Measure the length of each side of each polygon. (You may need to use the
distance formula to find the lengths.)
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 255 inches by 330 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.
*An example of the table is included below.*
Example of Table: (This is done with the ratio of the model to the actual being 3 to 23. Your ratio is
different.)
Polygon #1
Name:
Side 1:
Pentagon
5 in.
Model
Actual
3
5
=
23 x
3x = 115
x = 38.33
Side 2:
5 in
Side 3:
7 in
Side 4:
10 in
Side 5:
10 in
Perimeter:
5 + 5 + 7 + 10 + 10 = 37 in
38.33 in
3
5
=
23 x
3x = 115
x = 38.33
38.33 in
3
7
=
23 x
3x = 161
x = 53.67
53.67 in
3
10
=
23
x
3x = 230
x = 76.67
76.67 in
3
10
=
23
x
3x = 230
x = 76.67
76.67 in
3
37
=
23
x
3x = 851
x = 283.67
OR
38.33 + 38.33 + 53.67 + 76.67 + 76.67 =
283.67 in