To translate rectangle ABDC, we need to apply the transformations to each of its vertices:
- The translation by
in the horizontal direction means we subtract from the -coordinates of each point. - The translation by
in the vertical direction means we subtract from the -coordinates of each point.
Now, we will apply these translations to each vertex:
-
Point A (-5, 4):
-
Point B (-1, 4):
-
Point C (-5, 1):
-
Point D (-1, 1):
After applying the translations, the new vertices of rectangle A′B′D′C′ are:
- A′ =
- B′ =
- C′ =
- D′ =
Thus, the coordinates of rectangle A′B′D′C′ are:
- A' = (-6, 1)
- B' = (-2, 1)
- C' = (-6, -2)
- D' = (-2, -2)