Question

Figure ABCD is transformed to A′B′C′D′, as shown:



A coordinate plane is shown. Figure ABCD has vertices A at 3 comma 1, B at 3 comma 4, C at 5 comma 5 and D at 5 comma 3. Figure A prime B prime C prime D prime has vertices A prime at negative 5 comma 1, B prime at negative 5 comma 4, C prime at negative 7 comma 5 and D prime at negative 7 comma 3.



Which of the following sequences of transformations is used to obtain figure A′B′C′D′ from ABCD?

Group of answer choices

Counterclockwise rotation by 90 degrees about the origin followed by a translation right by 2 units

No answer text provided.

Reflection about the y-axis followed by a translation left by 2 units

Reflection about the x-axis followed by a translation right by 2 units

Answer 1

Reflection about the y-axis followed by a translation left by 2 units.

Explanation: Reflecting (x,y) across the y-axis gives (-x,y). Translating left 2 gives (-x-2,y). For A(3,1) this gives (-5,1) = A', and the same holds for B, C, D.