Respuesta :
Answer:
B. Reflected over the y-axis and rotated 180°
Step-by-step explanation:
A(-4, 2) Reflected over the y-axis (x, y) → (-x, y) → A'(4, 2)
A'(4, 2) → rotated 180° (x, y) → (-x, -y) → A"(-4, -2)
The set of transformations that can be applied to ABCD, to create A″B″C″D″ is a reflection over the y-axis, followed by a rotation of 180°
What is composite transformation?
"It is the production of the image of a figure through two or more transformation."
What is reflection?
"It is a geometric transformation where all the points of an object are reflected on the line of reflection."
What is rotation?
"It is a transformation in which the object is rotated about a fixed point."
For 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) , 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″ is (-x, -y)
The coordinates of the point (-x, y) after reflection over y-axis would be of the form (x, y)
And after rotation of 180° the coordinates would be (-x -y)
Therefore, the set of transformations that can 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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