Question

What is the image of the point

(
−
5
,
−
4
)
(−5,−4) after a rotation of
18
0
∘
180
∘
counterclockwise about the origin

Answer 1

(5, 4 )

Explanation:

under a counterclockwise rotation of 180° about the origin

a point (x, y ) → (- x, - y ) , then

(- 5, - 4 ) → (- (- 5), - (- 4) ) → (5, 4 )