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Geometry samples

Problem

We can have one exercise for all transformations or an exercise for each transformation (in the latter case, we can ask about a single property each time (and of course we should interleave those exercises))

Triangle ABC is translated 2 units down and 6 units to the right.
Which of the properties remain the same after the transformation?
Same
Not the same
The measure of A
The coordinates of B
The area of the triangle
Possible properties:
  • Coordinates of points
  • Lengths of sides
  • Measures of angles
  • Area
  • Perimeter
  • Slopes of sides (or lines being parallel)
Possible transformations:
  • Translations
  • Rotations
  • Reflections
  • Dilations
  • Stretches?
  • Other?