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° ...

step-by-step explanation:

first, eliminate the parenthesis:

3

x

+

2

−

4

x

second, group like terms:

3

x

−

4

x

+

2

third, combine like terms:

(

3

−

4

)

x

+

2

→

−

1

x

+

2

→

−

x

+

2

answer: a.

step-by-step explanation: the answer is a. because, you need to converge the fractions to find a solution.