Jarvis wants to translate rectangle ABDC horizontally by -4 and vertically by +3 to produce A'B'C'D'. What will be the coordinates of C' after Jarvis completes this translation? (1 point) Responses ( -9, 4 ) ( -9, 4 ) ( -9, 0 ) ( -9, 0 ) ( -11, 0 ) ( -11, 0 ) ( -11, 5 )

Answer 1

To find the new coordinates of point C' after translating point C of rectangle ABDC, we first need the coordinates of point C. However, since the problem does not provide the original coordinates of point C, we will use a general approach for translation.

The translation rule for a point (x, y) translated by (horizontal distance, vertical distance) is given by:

• New x-coordinate: x + horizontal distance
• New y-coordinate: y + vertical distance

Here, Jarvis translates horizontally by -4 (which means moving 4 units to the left) and vertically by +3 (which means moving 3 units up).

Assuming point C has coordinates (x_C, y_C), the translation results in:

• C' = (x_C - 4, y_C + 3)

To determine the coordinates of C', we need the coordinates of point C. However, since the problem statement provides us with potential responses for C', we can infer that the original coordinates of C are linked to those responses.

Let’s analyze the potential answers:

1. (-9, 4)
2. (-9, 0)
3. (-11, 0)
4. (-11, 5)

We will evaluate these options to see if any of them can be derived from a reasonable original point C.

Working Backwards Using Possible Answers

For each possible response, we reverse the translation to find the original coordinates of C:

1. From (-9, 4):

   • \( y_C = 4 - 3 = 1 \)
   • \( x_C = -9 + 4 = -5 \)
   • C could be at (-5, 1)

2. From (-9, 0):

   • \( y_C = 0 - 3 = -3 \)
   • \( x_C = -9 + 4 = -5 \)
   • C could be at (-5, -3)

3. From (-11, 0):

   • \( y_C = 0 - 3 = -3 \)
   • \( x_C = -11 + 4 = -7 \)
   • C could be at (-7, -3)

4. From (-11, 5):

   • \( y_C = 5 - 3 = 2 \)
   • \( x_C = -11 + 4 = -7 \)
   • C could be at (-7, 2)

Conclusion

Without the specific coordinates of point C, we cannot definitively determine which of the provided responses is correct. However, we can check each derived original coordinate point for C against the provided options.

For this translation, all derived responses are potential outputs based on arbitrary original points C, and we would conclude with multiple valid responses. Thus, the exact answer can depend on the coordinates of point C in rectangle ABDC, which are not provided in the problem.

In any case, if you are looking for the coordinates of C' after the specified translation, we can summarize that any of (-9, 4), (-9, 0), (-11, 0), or (-11, 5) could potentially be correct without specifying the original rectangle coordinates.