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Constructions and Tilings

Checkpoint: perpendiculars, 60°, hexagons and floors

Five questions on the last five ideas. Feedback comes right away. Retry whenever you want.

A point is 30 mm above a line. Which compass span cannot cut the line?

You bisect a 60° corner twice. What corner do you get?

The compass span is a little longer than the circle's radius. You step it six times round. Where do you end?

A tangram's big triangle holds 4 small triangles. The whole square holds 16. What share is the big triangle?

A regular shape has a corner of 150°. Can copies of it fill a point?

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This track

  1. 0 Start here
  2. 1 Copy a corner, no protractor
  3. 2 The line fair to both ends
  4. 3 Split a corner in two
  5. 4 A parallel through a point
  6. 5 Three lengths, one triangle
  7. 6 Two sides, the angle between
  8. 7 Covering a floor with no gaps
  9. 8 The corners must add to 360°
  10. 9 A square line from a point
  11. 10 60°, 30° and 15° with a compass
  12. 11 A hexagon from a circle
  13. 12 The tangram
  14. 13 Tiling the whole floor
  15. 14 Checkpoint: perpendiculars, 60°, hexagons and floors
  16. 15 The big picture
  17. 16 Track quiz

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