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Characteristics of Triangles
Students draw triangles and explore the classification of each using the measures of interior angles and lengths of sides. In the extension activities, the students further explore and generalize a formula for the sum of the interior angles of convex polygons.
The students will investigate the sum of the interior angles of
various triangles and conjecture and prove the following theorem:
The extension activities include conjecturing and proving the
Mathematics Thinking: Students will be asked to predict, conjecture, generalize and prove the aforementioned theorems.
Technology: This activity uses several Sketchpad commands such as: New Sketch, Point tool, Segment, Selection Arrow tool, Text tool, Preferences, Calculate, Length, and Angle measure.
The following sketch illustrates the relationship between the
measures of the interior angles in a triangle.
file has been
saved as intangles.gsp.
The sketchpad file has been saved as intangles.gsp.
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Last modified on May 22, 2002.