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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 2, 3, B at ordered pair 4, 4, C at ordered pair 3, 1, D at ordered pair 2, 1. A polygon A prime B prime C prime D prime has A prime at ordered pair negative 1, 3, B prime at ordered pair negative 3, 4, C prime at ordered pair negative 2, 1, D prime at ordered pair negative 1, 1.
Which of the following sequences of transformations is used to obtain figure A prime B prime C prime D prime from figure ABCD? (1 point)

a
Counterclockwise rotation by 90 degrees about the origin followed by a translation to the right by 1 unit

b
Counterclockwise rotation by 90 degrees about the origin followed by a translation to the left by 1 unit

c
Reflection about the x-axis followed by a translation to the left by 1 unit

d
Reflection about the y-axis followed by a translation to the right by 1 unit

Respuesta :

Answer:

D

Step-by-step explanation:

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 (2, 3), B at ordered pair (4, 4), C at ordered pair (3, 1), D at ordered pair (2, 1). A polygon A'B'C'D' 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).

Which of the following sequences of transformations is used to obtain figure A'B'C'D' from figure ABCD? (1 point)

a ) Counterclockwise rotation by 90 degrees about the origin followed by a translation to the right by 1 unit

b) Counterclockwise rotation by 90 degrees about the origin followed by a translation to the left by 1 unit

c ) Reflection about the x-axis followed by a translation to the left by 1 unit

d ) Reflection about the y-axis followed by a translation to the right by 1 unit