A composite transformation is the production of the image of a figure through two or more transformation
The set of transformations that could be applied to rectangle ABCD to create rectangle A'B'C'D' is the second option;
The reason the above selected option is correct is as follows:
Known parameters:
The given coordinates of the vertices of the preimage of the rectangle ABCD are; A(-4, 2), B(-4, 1), C(-1, 1), and D(-1, 2)
The given coordinates of the vertices of the image of the rectangle ABCD, which is rectangle A'B'C'D' are; A'(-4, -2), B'(-4, -1), C'(-1, -1), and D'(-1, -2)
Solution:
The form of the ordered pair of the vertices of the pre-image is negative value for x, positive value for y, which can be written as (-x, y), where x, and y, are positive numbers
The form of the ordered pair of the vertices of the image is (-x, -y)
The location of a point (-x, y) following a reflection over the y-axis is the point (x, y)
The location of a point (x, y) following a 180° rotation is the point (-x, -y)
Therefore, the set of transformations that can be applied to (-x, y), to create (-x, -y), is a reflection over the y-axis, followed by a rotation of 180
Which gives;
Therefore, the correct option is; Reflected over the y-axis and rotated 180°
Learn more about composite transformations here:
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