Practice Translation in Math
Use these practice problems to test your method after reviewing the concept explanation and worked examples.
Quick Recap
A rigid transformation that slides every point of a figure the same distance in the same direction.
Sliding a chess piece straight across the board—every point moves the same amount, same direction.
Example 1
easyTranslate the point A(2, -3) by the vector (5, 4). Where does A end up?
Example 2
mediumTriangle with vertices A(0,0), B(3,0), C(0,4) is translated by (-2, 3). Find the new vertices and confirm the side lengths are unchanged.
Example 3
mediumTriangle with vertices A(1,2), B(4,2), C(3,5) is translated by \langle -3, 4 \rangle. Find the new vertices.
Example 4
easyPoint P(4, 7) is translated to P'(1, 3). What is the translation vector?
Example 5
hardA square with vertices (1,1), (3,1), (3,3), (1,3) is translated so that the bottom-left corner moves to (0, 0). Find the new vertices and the translation vector.