VISUALIZING GEOMETRY WITH GSP NURTURING CURIOUSITY AND UNDERSTANDING

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VISUALIZING GEOMETRY WITH GSP NURTURING
CURIOUSITY AND UNDERSTANDING

• Armando M. Martinez-Cruz
• CSU Fullerton
• Amartinez-cruz_at_fullerton.edu
• Fernando Rodriguez
• Buena Park HS
• frodriguez_at_fjuhsd.k12.ca.us
• Presented at CMC South
• Palm Springs, CA
• Nov. 4, 2005
• http//taselm.fullerton.edu

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Outline of the Presentation

• AQITGSP
• A quick Intro to GSP (Transform menu and Scripts)
• Some Investigations
• Some Examples from Class
• Questions and Conclusions

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• Construct a triangle given three sides. Make a
  script for this construction.

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• Given triangle ABC, construct the three medians,
  m1, m2 and m3. Construct a triangle with sides
  m1, m2, and m3. Investigate the ratio of the
  areas

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• Given triangle ABC, construct the three angle
  bisectors, b1, b2 and b3. Construct a
  triangle with sides b1, b2 and b3.
  Investigate the ratio of the areas

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In a right triangle, investigate the relationship
between the areas shaded.
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The sides of an irregular convex pentagon are
extended to form a star. Find the sum of the
measures of the vertex angles (marked) of the
star.
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Consider the prior investigation for an irregular
hexagon, heptagon.
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• Questions and Conclusions