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°

Respuesta :

the answer
there is no more explanation about this question, the solution can be found easily by applying the rule of transformation of rotation

for example, the properties of rotation transformation are:
A rotation preserves length but does not necessarily preserveslope of a line.
A 90° rotation ( 1/4 turn) anticlockwise about the origin changesthe point (x; y) to (-y; x).
A 180° rotation ( 1/2 turn) clockwise or anticlockwise about theorigin changes the point (x; y) to (-x;-y).
A 270° rotation ( 3/4 turn) anticlockwise changes about the originthe point (x; y) to (y;-x).
 so the answer is 
R0, 270°

Another way to state the transformation is R0, 90°, the correct option is A.

Given

Quadrilateral ABCD is transformed according to the rule (x, y) → (y, –x).

Which is another way to state the transformation?

What is transformation?

The geometric transformation is a bijection of a set that has a geometric structure by itself or another set.

If a shape is transformed, its appearance is changed.

The transformation rule is given as:

(x, y) → (y, –x)

The above means that:

  • The x coordinate is negated.
  • Then the x and the y coordinates are swapped.

The above highlights represent 90 degrees clockwise rotation.

Hence, another way to state the transformation is R0, 90°, the correct option is A.

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