The set of transformations that could be applied to ABCD, to create A″B″C″D″ is a reflection over the y-axis, followed by a rotation of 180°
<h3>What is reflection?</h3>
"It is a geometric transformation where all the points of an object are reflected on the line of reflection."
For the given question,
The Rectangle ABCD is formed by ordered pairs A at (-4, 2), B at (-4, 1), C at (-1, 1), D at (-1, 2)
The Rectangle A″B″C″D″ is formed by ordered pairs A" at (-4, -2), B" at (-4, -1), C" at (-1, -1) and D" at (-1, -2)
We can observe that the coordinates of ABCD are of the form (-x, y) where x, and y, are positive numbers
The form of the ordered pair of the vertices of the A″B″C″D″ will be (-x, -y)
The coordinates of the point (-x, y) after a reflection over the y-axis would be of the form (x, y)
And after rotation of 180°, the coordinates would be (-x -y).
Hence, the set of transformations that could be applied to ABCD, to create A″B″C″D″ is a reflection over the y-axis, followed by a rotation of 180°.
Learn more about geometric transformations here:
brainly.com/question/15577335
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