If triangle DEF is translated 5 units down, what will be the coordinates of point E’ in the image?

To determine the new coordinates of point E’ after translating point E down by 5 units, we start with the given coordinates of point E.

Let’s take the possible coordinates one by one and apply the translation:

1. For E at (-1, 3):

– Translating down 5 units:

– New y-coordinate = 3 – 5 = -2

– New coordinates = (-1, -2)

2. For E at (4, -2):

– Translating down 5 units:

– New y-coordinate = -2 – 5 = -7

– New coordinates = (4, -7)

3. For E at (9, 3):

– Translating down 5 units:

– New y-coordinate = 3 – 5 = -2

– New coordinates = (9, -2)

4. For E at (4, 8):

– Translating down 5 units:

– New y-coordinate = 8 – 5 = 3

– New coordinates = (4, 3)

Among the options provided, the coordinate (4, -2) (which corresponds to point E at (4, 3) after translation) is not given, so let’s analyze:

The final answer for E’ based on translation can be calculated from the original coordinates (not given here) but if we assume E is at (−1, 3),