Conventionally positive angles are measured anticlockwise.
It depends where the centre of rotation is, so where would you like the image to be?
If the centre is at, say, (3, 5) then the image will be at (3, 5) regardless of the angle of rotation.
If the centre is at, say, (3, 3) then the image will be at (5, 3)
If the centre is at, say, the origin, ie (0, 0) then the image will be at (5, -3).
(-1, -4) rotated 90 degrees anticlockwise
A transformation, in the form of a rotation requires the centre of rotation to be defined. There is no centre of rotation given.
The answer will depend on whether the rotation is clockwise or anti-clockwise.
Colloquially, it means to give it a one quarter turn. Imagine taking a dial that currently points upwards, and rotating it to point rightward. That is a 90° rotation. Similarly, the amount by which the minute hand in an analog clock moves in fifteen minutes should be 90°. If you are looking to do this mathematically, the easiest way is to use a rotation matrix. In this case, you are rotating around the point 0, 0.
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.
The answer will depend on whether the rotation is clockwise or counterclockwise.
The answer will depend on whether the rotation is clockwise or counterclockwise.
The image is (-5, 3)
The answer depends on the centre of rotation. A rotation cannot be described without specifying the centre of rotation.
The answer depends on the centre of rotation. A rotation cannot be described without specifying the centre of rotation.
The answer depends on the centre of rotation. A rotation cannot be described without specifying the centre of rotation.
The answer depends on the centre of rotation. A rotation cannot be described without specifying the centre of rotation.
(-1, -4) rotated 90 degrees anticlockwise
If its 2d, you need a point of rotation If its 3d, you need an axis of rotation
A transformation, in the form of a rotation requires the centre of rotation to be defined. There is no centre of rotation given.
90 degrees
90 degrees is a 1/4 of a full rotation of 360 degrees