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What two rigid transformations were performed on figure ABCD to produce the congruent figure WXYZ ? (1 point) Responses 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 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). 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 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.

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To determine which sequence of transformations produces congruent figure WXYZ from figure ABCD, we need to analyze the options provided.

  1. Translation (shift) moves the figure without altering its shape, and a rotation changes the orientation of the figure but keeps its shape intact. Because WXYZ is congruent to ABCD, the rigid transformations must involve a combination of these two without changing the size or shape in a way that would make them non-congruent.

Here's how to analyze the given options:

  • First Option: Shifting 3 units left and 5 units up, then rotating 90° counterclockwise.
  • Second Option: Shifting 3 units left and 5 units up, then rotating -90° (clockwise).
  • Third Option: Rotating 90° counterclockwise, then shifting 3 units left and 5 units up.
  • Fourth Option: Rotating -90° (clockwise), then shifting 3 units left and 5 units up.
  • Fifth Option: Rotating -270° (clockwise), then shifting 3 units left and 5 units up.

Since options involve rotations of 90° or -90° (which are equivalent up to direction), and translations of the same magnitude and direction, the sequence of transformations should maintain congruence.

The sequences involving shifting first and then rotating or rotating first and then shifting will yield different final positions and orientations.

Considering all the options, if the first transformation involves shifting the entire shape first, this may misalign it with the necessary endpoint transformation corresponding to the target figure. Alternatively, completing a rotation first may align the angles correctly before moving it into place.

If we want to maintain congruence, without any additional context or changes in sizes, a reasonable choice to maintain the integrity of shifting and properly moving angles would be the first option or its variant.

The first or second options seem more likely as they maintain the translation before the rotation. Without specifics of the position (coordinates or visual representation) of ABCD and WXYZ, confirming the exact series through testing various points after the transformations would be ideal.

Thus, if I had to select one based solely on the effect of shifting and the congruency requirement, the most straightforward would be "ABCD was first shifted 3 units to the left and 5 units up, then rotated 90° (counterclockwise)" as the transformations maintain structure and endpoint alignment post-rotation.

However, please revalidate with the original position and visual shifts for precise verification if possible.