On the coordinate plane, point A (3,−4) is rotated 180° in a counterclockwise direction about the origin to create the rotated point A′. What are the coordinates of A'?
Match the rotation rule with its graph
| Draggable item | arrow_right_alt | Corresponding Item |
|---|---|---|
90° counter-clockwise rule (x,y) → (-y,x) | arrow_right_alt | |
270° counter-clockwise rule (x,y) → (y,-x) | arrow_right_alt | |
180° counter-clockwise rule (x,y) → (-x,-y) | arrow_right_alt |
Match the rotation rule with its graph
| Draggable item | arrow_right_alt | Corresponding Item |
|---|---|---|
90° counter-clockwise rule (x,y) → (-y,x) | arrow_right_alt | |
270° counter-clockwise rule (x,y) → (y,-x) | arrow_right_alt | |
180° counter-clockwise rule (x,y) → (-x,-y) | arrow_right_alt |
A water wheel has a diameter of 20 feet. Water from a water trough that is positioned above the water wheel is poured into the paddles of the water wheel to force it to rotate in a clockwise direction. The water in a paddle begins to be released from the water wheel after it makes a 90° rotation. If the water enters the paddle at the point shown on the graph in the coordinate plane below, what are the coordinates of the point where the water is released from the water wheel? The center of the water wheel is at the origin of the coordinate plane.
