6. Which statement is true about a translation?
A translation takes a line to a parallel line or itself.
A translation takes a line to a perpendicular line.
A translation requires a center of translation.
A translation requires a line of translation.
7. Draw the image of figure ABC when translated by directed line segment u. Label the image appropriately. Then
explain why the line containing AB is parallel to the line containing A'B'.
B
C
8. Given $(x, y) \rightarrow (x + 5, y + 4)$ and the point P (2, 3), what are the coordinates of P'?
$(x, y) \rightarrow (2 + 5, 3 + 4)$
P'(7, 7)
9. A translation is given as the rule $(x, y) \rightarrow (x - 7, y)$. Tell how the figure moved under this translation.
10. Without graphing, find the coordinates of the vertices of each figure after the given translation.
a. 3 units right and 1 unit up U (-3, -2), V (-1, 3), W (1, -1), X (0, -2).
b. 2 units down F (2, 2), G (4, 4), H (3, 0)
c. Write a function rule to represent each of these transformations.