Kim performs to create rectangle A'B'C'D' Transformation, ''Rotation of 270 degrees counterclockwise about the origin'' and it can be determined by using the rules of transformation.
<h2>Given that,</h2>
Kim performed a transformation on rectangle ABCD to create rectangle A'B'C'D', as shown in the figure below:
Rectangles ABCD and A prime B prime C prime and D prime are shown.
<h3>We have to
determine,</h3>
What transformation did Kim perform to create rectangle A'B'C'D'?
<h3>
According to the
question,</h3>
Kim performed a transformation on rectangle ABCD to create rectangle A'B'C'D', as shown in the figure below:
Rectangles ABCD and A prime B prime C prime and D prime are shown.
Transformation involves changing the position of the given shape.
<h3>The transformation on
rectangle ABCD to A'B'C'D' is (a)
rotation of 270 degrees counterclockwise.</h3>
<h3>The
coordinates of
ABCD are given as:</h3>
A (1, -2),
B (-1, 5)
C (-3, 5)
D (-3, 2)
<h3>The
coordinates of
A'B'C'D' are given as:</h3>
A (2, 1),
B (5, 1)
C (5, 3)
D (2, 3)
The transformation from ABCD to A'B'C'D is 270 degrees counterclockwise about the origin.
And the proof is as follows.
The rule of 270 degrees counterclockwise about the origin is:
The given coordinates;
A (2, 1) - (-1, 2)
B (5, 1) - (-1, 5)
C (5, 3) - (-3, 5)
D (2, 3) - (-3, 2)
Hence, Kim performs to create rectangle A'B'C'D' Transformation, ''Rotation of 270 degrees counterclockwise about the origin''.
For more details about Rotation refer to the link given below.
brainly.com/question/10624834
