To find the image of the point (1, -6) after a 270-degree counterclockwise rotation about the origin, we can use the rotation formula. A 270-degree counterclockwise rotation is equivalent to a 90-degree clockwise rotation. The coordinates transform as follows: (x, y) becomes (y, -x). Therefore, the image of (1, -6) is (-6, -1).
It is (6, 1).
You went 360o in the same direction, so you end up with a circle.
A rotation of 270 degrees counterclockwise about vertex A means that you would turn the point or shape around vertex A in a counterclockwise direction by three-quarters of a full circle. This results in a position that is equivalent to a 90-degree clockwise rotation. The new orientation will place points or vertices in a different location relative to vertex A, effectively shifting them to the left if visualized on a standard Cartesian plane.
The answer depends on the centre of rotation. Since this is not given, there can be no answer.
It is (6, 1).
It is (-6, -1).
You went 360o in the same direction, so you end up with a circle.
A rotation of 270 degrees counterclockwise is a transformation that turns a figure around a fixed point by 270 degrees in the counterclockwise direction. This rotation can be visualized as a quarter turn in the counterclockwise direction. It is equivalent to rotating the figure three-fourths of a full revolution counterclockwise.
There are 270 degrees in 3/4 of a rotation
Both will end up on the same place. Using a compass rose as an example: 270 clockwise will point to the west. 90 counterclockwise will also point west.
A rotation of 270 degrees counterclockwise about vertex A means that you would turn the point or shape around vertex A in a counterclockwise direction by three-quarters of a full circle. This results in a position that is equivalent to a 90-degree clockwise rotation. The new orientation will place points or vertices in a different location relative to vertex A, effectively shifting them to the left if visualized on a standard Cartesian plane.
(x,y) to (x,-y). You would keep the x the same, but turn the y negative. This is actually the rule for a 90 degree counterclockwise rotation, but they're the same thing, they would go to the same coordinates.
The answer depends on the centre of rotation. Since this is not given, there can be no answer.
305
(-5,3)
Point A has coordinates (x,y). Point B (Point A rotated 270°) has coordinates (y,-x). Point C (horizontal image of Point B) has coordinates (-y,-x).