Question

WILL GIVE A BRAINLEST AND 20PTS


A parallelogram is transformed according to the rule (x, y) → (x, y). Which is another way to state the transformation?


R0, 90°

R0, 180°

R0, 270°

R0, 360°

Answer 1

If you picture the coordinate plane and you have some point (x,y) rotating it full circle: 360° would return it to it's original location (x,y).

Answer 2

Answer:- R(0, 360°) is the right answer.

Given: A parallelogram is transformed according to the rule (x, y) → (x, y).

⇒The points of the image is same as the points of the original figure.

⇒ The given mapping create an image onto itself.

We know that the mapping of all points of a figure in a plane is done by  basic rigid transformations such as translation, reflection or rotation.

In rotation to create a image that is onto itself , then the rotation must be about 360°, so that the rotation will take a complete turn to get back  the original figure with the same points.

Thus in rotation the another way to state the transformation is R(0, 360°).