The transformations that can be used to map a triangle with vertices A(2, 2), B(4, 1), C(4, 5) to A’(–2, –2), B’(–1, –4), C’(–5, –4) is C. a 90 clockwise rotation about the origin and a reflection over the y-axis
What is a Transformation?
This refers to the mathematical process where one figure or expression is changed from one form to another that has or contains a similar value.
Given the pair of points (x, y) in the original image, it has been transformed to (-y, -x).
If we allow ABC to be first transformed onto A"B"C" by a 90° clockwise rotation, this would result in:
B(4, 1) being mapped onto B''(1, -4).
Therefore, the rule mapping ABC to A"B"C" is (x, y)→(y, -x)
With this, we can conclude that the transformation that maps (y, -x) to (-y, -x) is a reflection with respect to the y-axis
Option C is the correct transformation.
Read more about transformations here:
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