Which rule describes the transformation?

parallelogram abcd is rotated to create image a'b'c'd'.

 The correct option is (A)  (x, y)  ⇒  (y, -x).

Step-by-step explanation:  We are given to select the rule that describes the transformation when parallelogram ABCD is rotated to create the image A'B'C'D'.

From the figure, we note that

the co-ordinates of the vertices of parallelogram ABCD are A(2, 5), B(5, 4), C(5, 2) and D(2, 3).

And, the co-ordinates of the vertices of the image parallelogram A'B'C'D' are A(5, -2), B(4, -5), C(2, -5) and D(3, -2).

The transformation from the co-ordinates of vertices of A'B'C'D' to A'B'C'D' is given by

A(2, 5)  ⇒  A'(5, -2),

B(5, 4)  ⇒  B'(4, -5),

C(5, 2)  ⇒  C'(2, -5),

D(2, 3)  ⇒  D'(3, -2).

So, the required transformation is (x, y)  ⇒  (y, -x), which gives the rotation about the origin through 90° clockwise.

Thus, the transformation rule is described by  (x, y)  ⇒  (y, -x).

Option (A) is correct.

b.   e = 7.5h

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