Question

Rectangle ABDC undergoes a translation vector of <3, -2> in the coordinate plane to produce A'B'D'C'. What will be the coordinates of A' after Jarvis completes this translation A = (-5, 4)?

Answer 1

To find the new coordinates of point A' after the translation vector <3, -2> is applied to point A, we need to perform the following steps:

1. **Identify the coordinates of point A**:
\( A = (-5, 4) \)

2. **Apply the translation vector <3, -2>**:
We add the x-component of the vector to the x-coordinate of point A, and the y-component of the vector to the y-coordinate of point A.

- New x-coordinate:
\[
-5 + 3 = -2
\]

- New y-coordinate:
\[
4 - 2 = 2
\]

3. **Combine the new coordinates**:
So, the coordinates of A' will be:
\( A' = (-2, 2) \).

Therefore, the coordinates of A' after the translation are \((-2, 2)\).