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Exploring
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. Mathematics:
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
following theorems:
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. 

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