The rectangle ABDC is translated to the rectangle A'B'D'C'
We are asked to find the missing coordinates of these rectangles.
A(2, 4) and A'(3, 1)
C(2, -1) and C'(3, -4)
If you notice the above coordinates you will see a pattern.
The x coordinate of the translated rectangle is 1 more than the original x coordinate. (2 + 1 = 3)
The y coordinate of the translated rectangle is 3 less than the original y coordinate. (4 - 3 = 1 and -1 - 3 = -4)
Similarly, we can find the coordinates of B by applying the reverse logic.
B'(-5, 1)
Subtract 1 from x coordinates and add 3 to the y coordinate.
B(-5 - 1, 1 + 3)
B(-6, 4)
We are given D(-6, -1) and we want to find the translated coordinates D'
Let us apply the pattern we found earlier.
D(-6, -1)
Add 1 to the x coordinate and subtract 3 to the y coordinate.
D'(-6 + 1, -1 - 3)
D'(-5, -4)
Therefore, the missing coordinates are
B(-6, 4)
D'(-5, -4)
Orignal to translated coordinates:
Add 1 to the x coordinate and subtract 3 to the y coordinate.
Translated to original coordinates:
Subtract 1 from x coordinates and add 3 to the y coordinate.