Identify a sequence of rigid transformations that would map ABCD→A"B"C"D" . Give your answer in the form of a composition transformation mapping. (1 point) Responses (x,y)→(x,y+4) left parenthesis x comma y right parenthesis right arrow left parenthesis x comma y plus 4 right parenthesis (x,y)→(x,−y−4) left parenthesis x comma y right parenthesis right arrow left parenthesis x comma minus y negative 4 right parenthesis (x,y)→(−x,y−4) left parenthesis x comma y right parenthesis right arrow left parenthesis negative x comma y minus 4 right parenthesis (x,y)→(−x−4,y) left parenthesis x comma y right parenthesis right arrow left parenthesis negative x minus 4 comma y right parenthesis

To determine the sequence of rigid transformations that maps \( ABCD \) to \( A"B"C"D" \), let's analyze the provided transformation options.

1. \( (x,y) \to (x,y+4) \): This transformation translates points vertically upwards by 4 units.
2. \( (x,y) \to (x,-y-4) \): This transformation reflects points across the x-axis and then translates them vertically downwards by 4 units.
3. \( (x,y) \to (-x,y-4) \): This transformation reflects points across the y-axis and translates vertically downwards by 4 units.
4. \( (x,y) \to (-x-4,y) \): This transformation reflects points across the y-axis and translates them horizontally to the left by 4 units.

To find the correct sequence, we need to understand the final position of \( A"B"C"D" \) relative to \( ABCD \). Let's try to visualize or analyze the transformations one by one.

**Assuming the first step is translating points vertically upwards by 4:**
- Apply \( (x,y) \to (x,y+4) \) means moving every point of ABCD up by 4.

**Next, let's see if we need to apply a reflection or another transformation:**
- We would then apply either a reflection over the x-axis or y-axis and possibly another translation.

Without the actual coordinates of the points of \( A, B, C, D \) and points \( A", B", C", D" \) or additional information concerning their final relative positions, you might check the right combination of sequences systematically.

For a straightforward move from a translated position, one might:

1. Translate 4 units up, then another transformation may be needed based on the characteristics of the final points.

After analyzing, if the right sequence yields from starting:

**If we apply the first transformation:**
1. **Translate up by 4**: \( (x,y) \to (x,y+4) \)
2. **Then reflect or adjust with the contrasting method depending on the alignment needed with the x or y-axis**.

If the output coordinates seem inconsistent, verify the output's axes and the symmetry related to how the first transformation adjusts the mapping.

**The final combined form would look like:**
If you start with a basic vertical translation and then adjust accordingly based on the spatial need for \( A"B"C"D" \), please confirm the resultant trails.

If it appears you found it relevant as an example in spaced configurations, check with any additional coordinate data you may possess to confirm.

Conclusively, the transformation \( (x,y) \to (x,y+4) \) would be a solid start depending wholly on the target's nature.