Question

Which rule represents R0, 180

Answer 1

B

Explanation:

Answer 2

`(x, y) \rightarrow (-x, -y)`

Explanation:

Rotation of any point in the form of (x, y) about the origin O through 180 degree in anticlockwise or counterclockwise direction, it will takes the new position (-x, -y)

i.e,

The rule of rotation about the origin through 180 degree is given by:

`(x, y) \rightarrow (-x, -y)`

For example:

Let the point A(-4, 6) rotate by the rule
`R_(0, 180^(\circ))`

then;

`A(-4, 6) \rightarrow (4, -6)`

⇒the coordinate of image of the point A is, (4, -6)

Therefore, the rule represents
`R_(0, 180^(\circ))` is,
`(x, y) \rightarrow (-x, -y)`