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

A coordinate grid is shown from negative 5 to 0 to 5 on both x -and y-axes. A polygon ABCD has A at ordered pair 1, 3, B at ordered pair 3, 4, C at ordered pair 2, 1, D at ordered pair 1, 1. A polygon A prime B prime C prime D prime has A prime at ordered pair negative 3, 3, B prime at ordered pair negative 5, 4, C prime at ordered pair negative 4, 1, D prime at ordered pair negative 3, 1.

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

Reflection about the x-axis followed by a translation to the right by 2 units
Reflection about the y-axis followed by a translation to the left by 2 units
Counterclockwise rotation by 90 degrees about the origin followed by a translation to the right by 2 units
Counterclockwise rotation by 90 degrees about the origin followed by a translation to the left by 2 units

Respuesta :

Using translation concepts, the sequence that is used to obtain Figure A'B'C'D' is given by:

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

What is a translation?

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.

Considering the vertices, the changes have the following pattern:

(x,y) -> (-x,y) -> (-x -2, y).

At step (x,y) -> (-x,y), the function is reflected over the y-axis. Then, at step (-x,y) -> (-x -2, y), the function is shifted left 2 units, hence the correct option is given by:

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

More can be learned about translation concepts at https://brainly.com/question/4521517

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