The coordinates of the image of the parallelogram ABCD after the transformations are A''(-2,-3), B'(3, -3), C'(2, 3) and D'(-3, 3)
How to determine the final vertices?
The coordinates of the parallelogram ABCD are given as:
A(−2, 3), B(3, 3), C(2, −3) and D(−3, −3)
When reflected across the y-axis, the rule of transformation is:
(x,y) -> (-x,y)
So, we have:
A'(2, 3), B'(-3, 3), C'(-2, -3) and D'(3, −3)
When rotated by 180 degrees, the rule of transformation is:
(x,y) -> (-x,-y)
So, we have:
A''(-2,-3), B'(3, -3), C'(2, 3) and D'(-3, 3)
Hence, the coordinates after the transformations are A''(-2,-3), B'(3, -3), C'(2, 3) and D'(-3, 3)
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