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The instructor:

  • Asks children to study figure A.
  • Points at the word "Diagonal" and tells children "diagonal" means reaching from angle to angle.
  • Tells children a diagonal divides a rectangle into two right triangles.
  • Asks children to look at figure B.
  • Tells children that two diagonals divide a horizontal or vertical rectangle into two acute and two obtuse triangles.
  • Asks children to look at figure C.
  • Tells children that two diagonals divide a square rectangle into four right triangles.
  • Tells children the center is where the two diagonals cross.

The instructor:

  • Asks children to the name the shapes of parts 1 and 2."
  • Asks children to the name the shapes of part 3."
  • Asks children to the name the shapes of part 4."
  • Asks children to the name the shapes of part 5."
  • Asks children to point to the center of the square rectangle.
  • Asks children to point to the center of the horizontal rectangle.

Children complete the following drill work:

  1. Draw a horizontal rectangle and divide it into two right triangles.
  2. Draw a vertical rectangle and divide it into two right triangles.
  3. Draw a square rectangle and divide it into two right triangles.
  4. Draw a square rectangle and divide it into four right triangles.
  5. Draw a horizontal rectangle and divide it into two acute triangles and two obtuse triangles

The instructor:

  • Asks children to study the bottom image.
  • Tells children this drawing contains sixteen large rectangles and fourteen large triangles.
  • Asks children to find and trace the rectangles in the picture with their forefinger.

The instructor asks children the following about the bottom image:

  • Where is an acute triangle?
  • Where is an obtuse triangle?
  • Where is a right triangle?
  • What is the shape of the stone work of the bridge?
  • What is the shape of the bank on the right? The bank and its reflection together?
  • What is the shape of the stone abutment and the bank together?
  • What is the shape of the stone abutment and its reflection?
  • What is the shape of the bank and its reflection?
  • What is the shape of the truss?
  • What is the shape of the beam?
  • What is the shape of the space under the beam?
  • What is the shape of the whole drawing?
  • What is the shape of the space above the roadway?
  • What is the shape of the whole space below the roadway?

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