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Defining Translations

Move points A, B, C to change the shape of the triangle. Move point Q to change the size of vector PQ. Select or unselect 'Vectors' and 'Slope' boxes to see the vectors and slope.

Question 1

Move point Q so that it is on top of point P. What do you notice?

Question 2

Starting from (0, 0), move point Q three units left and two units up. What happens to A'B'C'? What is the algebraic description for this transformation.

Question 3

What is true about the directed line segments AA', BB' and CC'?

Select all that apply
  • A
  • B
  • C
Check my answer (3)

Question 4

Write a precise definition for a translation, using the following words or objects:

  • Point A
  • Point A'
  • Directed line segment PQ
  • Directed line segment AA'
  • Parallel
  • Direction
  • Length

Question 5

Which of the following are properties of the translated triangle A'B'C'?

Select all that apply
  • A
  • B
  • C
  • D
  • E
  • F
Check my answer (3)