Question

Use the image to answer the question.

A rectangle is labeled upper A upper B upper C upper D. Vertices upper A and upper B are labeled as follows: upper A equals left parenthesis negative 5 comma 4 right parenthesis, and upper B equals left parenthesis negative 1 comma 4 right parenthesis.

If square ABDC is translated 2 units to the left and 4 units down to produce square A′B′D′C′ , what are the coordinates of B′ ?

Answer 1

To find the coordinates of point \( B' \) after the translation, we start with the original coordinates of point \( B \), which are given as \( B = (-1, 4) \).

The translation involves moving the point:
- 2 units to the left, which means we subtract 2 from the x-coordinate.
- 4 units down, which means we subtract 4 from the y-coordinate.

Applying the translation to the coordinates of \( B \):
- New x-coordinate: \( -1 - 2 = -3 \)
- New y-coordinate: \( 4 - 4 = 0 \)

Therefore, the coordinates of \( B' \) after the translation are:

\[
B' = (-3, 0)
\]