If p’(-1,-3) is obtained by a 180°ccw rotation about the origin what are the coordinates of p? a. (1,-3) b. (1,3) c. (-1,3) d. (-1,-3)

B

Step-by-step explanation:

Under a counterclockwise rotation about the origin of 180°

a point (x, y) → (- x, - y), hence

P'(-1, - 3) → P(1, 3) → B

B) (1, 3)

Step-by-step explanation:

If a point (x, y) is rotated by 180° counter clockwise about the origin, then the rule is (x, y) ---> (-x. -y)

Here P'(-1, -3) is obtained by a 180° counter clockwise rotation about the origin.

So, the coordinates of P are [-(-1) ,  -(-3)] = (1, 3) [According to the rule]

P'(-1, - 3)  > P(1, 3)

Therefore, the answer is B) (1, 3)

X=2

Step-by-step explanation:

that's the answe for b)