There are many ways of describing the rule. Perhaps the simplest is to premultiply the coordinates of any point by the matrix:( 0 -1 )
( 1 0 )
{1 0} {0 -1}
(-1, -4) rotated 90 degrees anticlockwise
Rotating a triangle 90 degrees counterclockwise would involve taking an upright triangle and laying is toward the left on its back. Changing position through rotation can cause a better visualization for some problem solving.
90 degreesThere are 90 degrees in a right angle.There are 90 degrees in a right angle
It is an anticlockwise rotation through 90 degrees.
(x,y)-> (-y,x)
Clockwise means turning to your right, counterclockwise is to the left.
A counterclockwise rotation of 270 degrees about the origin is equivalent to a clockwise rotation of 90 degrees. To apply this transformation to a point (x, y), you can use the rule: (x, y) transforms to (y, -x). This means that the x-coordinate becomes the y-coordinate, and the y-coordinate becomes the negative of the x-coordinate.
180 degrees.
{1 0} {0 -1}
(-1, -4) rotated 90 degrees anticlockwise
The answer will depend on whether the rotation is clockwise or counterclockwise.
Rotating a triangle 90 degrees counterclockwise would involve taking an upright triangle and laying is toward the left on its back. Changing position through rotation can cause a better visualization for some problem solving.
Uranus is the only planet tilted 90 degrees to the right
The answer will depend on whether the rotation is clockwise or counterclockwise.
A 90-degree counterclockwise rotation involves turning an object or point 90 degrees to the left around a specified pivot point. For example, if you imagine a point on a Cartesian coordinate system, moving it 90 degrees counterclockwise would shift its position from, say, (1, 0) to (0, 1). This transformation effectively swaps the x and y coordinates and changes the sign of the new x-coordinate.
They intersect at 90 degrees