Question

2 The point C ( − 3 , − 1 ) C(−3, −1) is rotated 18 0 ∘ 180 ∘ clockwise about the origin. ​ ​What are the coordinates of the resulting point, C ′ C ′ ? A (3, 1)(3, 1) B (−3, 1)(−3, 1) C (3, −1)(3, −1) D (−1, −3)(−1, −3)

Answer 1

Answer:

A (3, 1)

Step-by-step explanation:

If we have the coordinate (x,y), if this coordinate is rotated by 180 degrees clockwise, the resulting coordinate will be expressed as (-x, -y) i.e the original coordinate axis are both negated.

Given the coordinate C(-3, -1), if this coordinate is rotated clockwise about the origin, the coordinate of the resulting point will be at C' (-(-3), -(-1))

C' (-(-3), -(-1))

C' = (3, 1)

Hence option A is correct