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Geometric Twins

Slide it, turn it, flip it

A tailor cuts one sleeve. The pattern is flipped. The other sleeve is cut.

Tap the three moves. Watch the side lengths.

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The triangle at the start.
Step 1 of 4
  1. The triangle at the start.
  2. Slid to a new spot. Same three lengths.
  3. Turned to face a new way. Same three lengths.
  4. Flipped into its mirror image. Same three lengths.

Three moves

  • Slide: move the figure in a straight line.
  • Turn: spin the figure round a fixed point.
  • Flip: turn the figure over, to make its mirror image.
Three moves, and what they change
MoveWhat changesWhat stays the same
SlideWhere it sitsEvery side and every corner
TurnWhich way it facesEvery side and every corner
FlipLeft and right swapEvery side and every corner

No move changes a side or a corner. So the moved figure is still congruent to the start.

Jump to lesson

This track

  1. 0 Start here
  2. 1 Landing one on the other
  3. 2 Slide it, turn it, flip it
  4. 3 A bigger copy is a different figure
  5. 4 One line, one corner
  6. 5 Three sides settle it
  7. 6 Two sides and the corner between them
  8. 7 Two corners and a side
  9. 8 When shape is not enough
  10. 9 Writing a congruence in order
  11. 10 RHS: a right angle, the hypotenuse, a side
  12. 11 Equal sides, equal angles
  13. 12 Twins hiding in a figure
  14. 13 Checkpoint: order, RHS and angles
  15. 14 The big picture
  16. 15 Track quiz

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