Compositions of Transformations Quick Check 2 of 52 of 5 Items Question Use the image to answer the question. What two rigid transformations were performed on figure ABCD to produce the congruent figure WXYZ ? (1 point) Responses ABCD was first rotated −270° (clockwise), then shifted 3 units to the left and 5 units up. upper A upper B upper C upper D was first rotated negative 270 degrees (clockwise), then shifted 3 units to the left and 5 units up. ABCD was first shifted 3 units to the left and 5 units up, then rotated 90° (counterclockwise). upper A upper B upper C upper D was first shifted 3 units to the left and 5 units up, then rotated 90 degrees (counterclockwise). ABCD was first rotated 90° (counterclockwise), then shifted 3 units to the left and 5 units up. upper A upper B upper C upper D was first rotated 90 degrees (counterclockwise), then shifted 3 units to the left and 5 units up. ABCD was first shifted 3 units to the left and 5 units up, then rotated −90° (clockwise). upper A upper B upper C upper D was first shifted 3 units to the left and 5 units up, then rotated negative 90 degrees (clockwise). Skip to navigation

To determine the correct sequence of rigid transformations that produced the congruent figure WXYZ from figure ABCD, we need to analyze the transformations involved. Here's how to approach the problem:

1. **Identify the Rotation**:
- A rotation of \(90^\circ\) (counterclockwise) or \(-90^\circ\) (clockwise) would move each point to a position relative to its original position based on those angles. Verify if the orientation after the rotation matches the target figure.

2. **Identify the Translation**:
- Moving a figure 3 units to the left and 5 units up is simply adding the corresponding values to the coordinates of each point.

Without the actual image to view the position of points, it is difficult to determine which specific transformations occurred. However, check to see if:

- After applying a rotation, the vertices of ABCD match with the vertices of WXYZ.
- Then, apply the translation to see if the points correspond to those in WXYZ after the rotation.

Given the hints in the options provided, the best approach is to check for the sequence of transformations that results in the same orientation (clockwise or counterclockwise) and position as WXYZ.

Based on common transformations, if we see:

- A rotation of \(90^\circ\) (counterclockwise) followed by a shift of \(3\) units left and \(5\) units up seems practical. This would rotate the points into the right orientation and then shift them to the correct position.

Thus, one possible correct answer could be:

**ABCD was first rotated \(90^\circ\) (counterclockwise), then shifted \(3\) units to the left and \(5\) units up.**

If this aligns with visual observations, it would confirm as the correct answer.