Quadrilateral abcd is transformed according to the rule (x, y) → (y, –x). which is another way to state the transformation? r0, 90° r0, 180° r0, 270° r0, 360°

The correct option is R0, 270°

Step-by-step explanation:

The correct option is R0, 270°

Apply the rule of transformation of rotation which has a property that a rotation preserves length but does not necessarily preserve slope of a line.

Look at the first option:

A 90° rotation ( 1/4 turn) anticlockwise about the origin changes the point (x; y) to (-y; x).

A 180° rotation ( 1/2 turn) clockwise or anticlockwise about the origin changes the point (x; y) to (-x;-y).

A 270° rotation ( 3/4 turn) anticlockwise changes about the origin the point (x; y) to (y;-x).

Thus the correct option we get is  R0, 270° ...

R0, 270°

Step-by-step explanation:

Let the width be x

Therefore Length will be 4x - 7

Formula for perimeter of rectangle is:

2L + 2w = P  (where L is length, w is width and P is perimeter.)

2(4x -7) + 2 (x) = 136

8x -14 + 2x  = 136

8x + 2x  = 136 + 14

       10x  = 150

            x = 150/10

             x = 15

The width is 15

therefore the length will be : 4(15) -7 →  60 - 7 =  53

The length is 53