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The attached figures represent the transformations of the triangle ABC
From the figure, the coordinates of the triangle ABC are:
A = (-2, 3)
B = (0, 2)
C = (3, 4)
Next, we carry out the required transformations on the above coordinates of the triangle ABC
The rotation
Here, we rotate the triangle 90 degrees clockwise across the origin
The rule of this transformation is:
(x, y) = (y, -x)
So, we have:
A' = (3, 2)
B' = (2, 0)
C' = (4, -3)
See figure (1) in the attachment for the graph of the rotation transformation
The translation
Here, we translate the triangle up by 3 units
The rule of this transformation is:
(x, y) = (x, y + 2)
So, we have:
A' = (-2, 5)
B' = (0, 4)
C' = (3, 6)
See figure (2) in the attachment for the graph of the reflection transformation
The reflection
Here, we reflect the triangle across the y-axis.
The rule of this transformation is:
(x, y) = (-x, y)
So, we have:
A' = (2, 3)
B' = (0, 2)
C' = (-3, 4)
See figure (3) in the attachment for the graph of the reflection transformation
Read more about transformation at
https://brainly.com/question/4289712
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