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 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.

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 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.

GPT-4o mini · Answer

To determine the two rigid transformations performed on figure ABCD to produce the congruent figure WXYZ, you need to consider both the rotation and the translation involved.

Rotation: The options mention rotations of -270°, 90°, and -90°. A rotation of -270° (which is equivalent to a 90° clockwise rotation) or a positive rotation of 90° (counterclockwise) could produce different orientations of the figure.
Translation: The figure ABCD is also translated (shifted) by moving 3 units to the left and 5 units up.

Given these transformations, the correct sequence will involve both a rotation followed by a translation or vice versa. The phrase "congruent figure" suggests that the transformations do not change the shape or size, only the position and orientation.

Without the visual reference, based on common transformation properties and the plausibility of the transformations, if the problem leads you toward a scenario where the figure can be effectively moved to fit into the desired location, a logical guess based on typical outcomes would be:

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

This captures a common sequence where a translation is followed by a rotation to align the two figures in such configurations.

Thus, choose that response accordingly.