IM 6.1.7 Lesson: From Parallelograms to Triangles

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• Offline Activity (.zip)

• GeoGebra Files

  1. Here are two copies of a parallelogram. Each copy has one side labeled as the base b and a segment drawn for its corresponding height and labeled h. (.ggb)
     
  2. Here are two copies of a parallelogram. Each copy has one side labeled as the base b and a segment drawn for its corresponding height and labeled h. (.ggb)
     
  3. Draw one line to decompose each polygon into two identical triangles, if possible. If you choose to, you can also draw the triangles. (.ggb)
     
  4. Draw some other types of quadrilaterals that are not already shown. Try to decompose them into two identical triangles. Can you do it? Come up with a general rule about what must be true if a (.ggb)
     
  5. This applet has eight pairs of triangles. Each group member should choose 1–2 pairs of triangles. Use them to help you answer the following questions. (.ggb)
     
  6. Sketch 1–2 examples to illustrate each completed statement. (.ggb)