Question

After applying a translation vector to rectangle ABDC , the coordinates of A′ are (−6,8) . What are the coordinates of B′ ? (1 point)

A was -5, 4
B was -1, 4

Answer 1

To find the coordinates of B' after applying the same translation to rectangle ABDC, we first need to determine the translation vector based on the coordinates of point A and point A'.

Given:
- A (original coordinates) = (-5, 4)
- A' (new coordinates) = (-6, 8)

The translation vector can be found by subtracting the coordinates of A from A':

Translation vector = A' - A = (-6, 8) - (-5, 4) = (-6 + 5, 8 - 4) = (-1, 4).

Now we'll apply this translation vector to point B.

Given:
- B (original coordinates) = (-1, 4)

Now apply the translation:

B' = B + Translation vector = (-1, 4) + (-1, 4) = (-1 - 1, 4 + 4) = (-2, 8).

So, the coordinates of B' are (-2, 8).