Areas of Tangrams (answer sheet)

Tom Scavo

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  1. <-- Suppose the small square has area one square unit:

  2. <-- The two small congruent triangles make a square congruent to the one above, which has area one square unit:

  3. <-- Since the small square has area one square unit, each of the triangles must have area one-half square unit:

  4. <-- This is a parallelogram:

  5. <-- Each of the triangles has area one-half square unit, so the parallelogram must have area one square unit:

  6. <-- This is the medium-size triangle:

  7. <-- Each of the triangles has area one-half square unit, so the medium-size triangle must have area one square unit:

  8. <-- This is a large triangle:

  9. <-- Since the small square has area one square unit and each of small triangles has area one-half square unit, the large triangle must have area two square units:

  10. <-- Since each large triangle has area two square units, the large square must have area four square units:

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Tom Scavo
5 August 1996