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.

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Question 3

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

Select all that apply

A
They are parallel to PQ
B
They are the same length as PQ
C
They are the same direction as PQ

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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

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Question 5

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