The attached figures represent the transformations of the triangle ABC
<h3>How to draw the transformations</h3>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
<u>The rotation</u>
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
<u>The translation</u>
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
<u>The reflection</u>
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
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