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Question

Two quadrilaterals, upper A upper B upper C upper D and upper W upper X upper Y upper Z, are graphed on a coordinate plane. The x-axis ranges from negative 14 to 10 in increments of 2. The y-axis ranges from negative 6 to 10 in increments of 2.

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 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° (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).
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Answer 1

To determine the correct transformations performed on quadrilateral ABCD to obtain quadrilateral WXYZ, we analyze the transformations step by step.

1. Identifying the Shift: The problem states that quadrilateral WXYZ is congruent to ABCD, which would involve translating (shifting) the entire figure. The question mentions shifting 3 units to the left and 5 units up.

2. Identifying the Rotation: After shifting, we need to assess how the orientation of the figure has changed. The options present two potential rotations: 90° counterclockwise or -90° (which is effectively 270° clockwise).

To summarize:

• Start with ABCD, shift it 3 units left and 5 units up.
• Then, rotate the figure to match the orientation of WXYZ.

Considering the options, the correct answer is:

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