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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 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.

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.

Answer 1

To determine the correct sequence of transformations that took quadrilateral ABCD to quadrilateral WXYZ, we need to analyze the transformations involved:

1. Translation: Shifting ABCD 3 units to the left and 5 units up.
2. Rotation: A rotation of 90° counterclockwise or an equivalent −270° clockwise rotation.

Given these transformations and the options presented, the most fitting option is:

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

This option directly states the sequence of translating first and then rotating, matching the description of how transformations can be applied to translate and orient the quadrilateral to match its congruent figure on the coordinate plane.