Concepts in Action: Relationship between T1 and T2
- With the pieces of the small hexagonal box, form various figure: hexagon, trapezoid, rhombus, and equilateral triangle and hexagon.
- Superimpose the grey hexagon on the red and yellow hexagon to demonstrate congruency.
- Recall the value relationships already established.
- Since the equilateral triangle is equal to 1/2 the red hexagon, then it is also equal to 1/2 of the grey hexagon - or a trapezoid.
- Bring from the triangular box the grey unit triangle (T1) and the four small red equilateral triangles (T3).
- We know that the yellow triangle T2 is equivalent to the trapezoid which is 1/2 of the grey hexagon.
- One of the triangles of the trapezoid is congruent to one of the small red equilateral triangles (T3).
- Superimpose them.
- Thus, one red triangle is 1/3 of the trapezoid.
- The red triangle as we know is 1/4 of the large grey unit triangle (T1).
- Four of these red triangles are equivalent to the grey unit triangle.
- Because the yellow triangle (T2) is made up of three of the small red triangles (T3), then we can say that the yellow triangle (T2) is made up of 3/4 (T3) of the grey unit triangle (T2 = 3/4 T1).
Control Of Error
Points Of Interest