Question

A ferris wheel is drawn on a coordinate plane so that the first car is located at the point ​(0​,40​). What are the coordinates of the first car after a rotation of 270 degrees° counterclockwise about the​ origin?

Answer 1

Answer:

(40,0)

Step-by-step explanation:

A rotation of 270 degrees° counterclockwise about the​ origin has the rule

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

A ferris wheel is drawn on a coordinate plane so that the first car is located at the point ​(0​,40​).

According to the given rule, the image point after a rotation of 270 degrees° counterclockwise about the​ origin have the coordinates (40,0) (see attached diagram for details).