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Name: Period: Date:
Name:
Date:
Part I: Pythagorean Spiral Directions
Period:
Open GeoGebra and complete the following steps to create a spiral using concepts learned last
semester. Include a screenshot beneath each step and answer the analysis questions on Part II of this
exploration.
1. Plot points A(0, 1), B(1, 0), and C(0, 0); and draw segments
,
and
.
[Insert your screenshot here]
Use your GeoGebra sketch to answer question 1 on part II.
2. Now to create the spiral, construct a similar triangle (
) on the hypotenuse of
rotating
clockwise about B. Then, hide your construction marks (showing only the
triangles).
[Insert your screenshot here]
Use your GeoGebra construction to answer question 2 on part II.
3. Construct a third isosceles right triangle based on
, following the process in the
second step but rotating about point D. Then, hide your construction marks (showing only the
triangles).
[Insert your screenshot here]
Use your GeoGebra construction to answer questions 3 and 4 on part II.
4. Complete the full spiral plus one more triangle that overlaps with
construction marks (showing only the triangles).
Then, hide your
[Insert your screenshot here]
Use your GeoGebra construction to answer question 5 on part II.
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