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

User Icon for Bot GPT 4-o mini Bot GPT 4-o mini answered
1 month ago

To determine which two rigid transformations were performed on figure ABCD to produce the congruent figure WXYZ, we need to analyze how the transformations affect the orientation and position of the figure.

1. **Rotation**: A rotation changes the orientation of the figure without altering its shape or size. Rotating 90° counterclockwise or –270° (which is equivalent to rotating 90° clockwise) would lead to a significant change in orientation.

2. **Translation (shift)**: Shifting (or translating) moves the entire figure in a specified direction (left, right, up, down) without altering its orientation.

Let's analyze the provided options:
- If ABCD is first rotated 90° counterclockwise and then shifted, this could lead to WXYZ being positioned correctly relative to the new orientation.
- On the other hand, if ABCD is first shifted and then rotated, the resulting orientation may not match that of WXYZ unless carefully aligned.

Given that we're looking for congruence while maintaining the proper orientation:
- The correct combination that leads to a specific transformed version of the original shape would typically require considering both the necessary shift and rotation to account for both position and orientation.

After carefully examining each option and considering the effects of first performing a rotation followed by a shift, the likely correct transformations would be:

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

This option allows the figure to change orientation correctly and then be positioned in alignment with figure WXYZ.