The parallelogram is transformed to create A"B"C"D" as ,
The reflected over the y-axis and rotated 180°.
What is parallelogram?
A parallelogram is a four-sided geometric shape where each side's opposites coincide. The square, rectangle, rhombus, and rhomboid are a few examples.
The following traits of parallelograms are crucial:
The parallelogram is divided into two equal parts by the diagonals.
Their opposing angles line up.
At a midpoint, the diagonals come together.
First, let's extract the points of the parallelogram
A(-4, 1), B(-3, 2), C(-1, 2), D(-2, 1).
We make a reflection on the y-axis, obtaining new coordinates of the parallelogram:
A'(4, 1), B'(3, 2), C'(1, 2), D'(2, 1).
Apply the 180 degrees rotation rule.
(x, y) → (-x, -y)
A''(-4, -1), B"(-3, -2), C"(-1, -2), D"(-2, -1).
The parallelogram is transformed to create A"B"C"D" as ,
The reflected over the y-axis and rotated 180°.
Hence, the option B is correct.
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The graph of the question is attached below.
