Geometry In Design - McGraw-Hill Ryerson

For help with questions 7 and 8, refer to Investigate A.
7. Sports such as soccer or lacrosse are often played on rectangular
fields. Investigate the dimensions of several of sports fields. Find
the dimensions of an Olympic swimming pool. Are any dimensions
close to a golden rectangle
Technology Tip
You can search for
images directly using
most search engines,
rather than searching
for web sites and then
looking for images.
8. Use the Internet to find a picture of each of these famous buildings.
Copy each picture into The Geometer’s Sketchpad®, and use the
software to identify any golden rectangles that were used in the design.
a) The Parthenon, in Athens, Greece. Use a front view.
b) The Taj Mahal, in Agra, India. Use a front view, taken down the
reflecting pool.
c) The United Nations building in New York, NY. Use a view from
the river.
d) The Buddhist Temple in Niagara Falls, ON. Use a front view.
9. The actor Drew Barrymore is considered as a classic example of a
“round face,” while actor Fred Gwynne (who played a Frankensteinlike
character on a popular television show) is considered to be an
example of a “long face.” Search for pictures of each actor. Use pencil
and paper or The Geometer’s Sketchpad® to determine how the actors’
faces compare to the golden ratio.
10. The faces of some animals appear to have a greater width than height.
One example is a house cat. Use pencil and paper or The Geometer’s
Sketchpad® to determine the facial ratio of a typical cat.
6.1 Investigate Geometric Shapes and Figures • MHR 13