Translation Math Example 4

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Example 4

easy
Point P(4,7)P(4, 7) is translated to P′(1,3)P'(1, 3). What is the translation vector?

Solution

  1. 1
    Step 1: Translation vector =P′−P=(1−4, 3−7)=(−3,−4)= P' - P = (1-4,\ 3-7) = (-3, -4).

Answer

Translation vector =(−3,−4)= (-3, -4)
The translation vector is found by subtracting the original coordinates from the image coordinates. A vector (−3,−4)(-3, -4) means the figure moved 3 units left and 4 units down.

About Translation

A rigid transformation that slides every point of a figure the same distance in the same direction.

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More Translation Examples

Example 1 easy

Translate the point [formula] by the vector [formula]. Where does A end up?

Example 2 medium

Triangle with vertices [formula], [formula], [formula] is translated by [formula]. Find the new vert

Example 3 medium

Triangle with vertices [formula], [formula], [formula] is translated by [formula]. Find the new vert

Example 5 hard

A square with vertices [formula], [formula], [formula], [formula] is translated so that the bottom-l

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