{1 0}
{0 -1}
Ex: -1,-2 Switch the numbers, so with the example it would be -2,-1. Next multiply your x coordinate by -1,so the example would be 2,-1
You rotate everything to the left, 3/4 of a full turn.As an example of the result, the positive x-axis winds uppointing down from the origin.
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.
60 degrees. You find this by taking 360 and dividing by the total sides (6) which leaves you with the degrees of the exterior angles, this exterior angle is how little you can rotate any polygon for that matter.
Given a set of points, (x1, y1), (x2, y2), etc. Take the absolute value of each point's x and y values, and replace those. Take the inverse point of each point, e.x. (x1, y1) -> (y1, x1) Apply the signs that correspond to the quadrant counterclockwise of the quadrant the point was in. e.x. (3, 5) is in the First Quadrant. The Second Quadrant is counterclockwise of the First, so we will have the x-value of the point negative: (-3, 5). Do that for all points.
To rotate a point 180 degrees counterclockwise about the origin, you can simply change the signs of both the x and y coordinates of the point. For example, if the original point is (x, y), after the rotation, the new coordinates will be (-x, -y). This effectively reflects the point across the origin.
A) Rotate 360 degrees counterclockwise, then shift 1 unit up. B) Rotate 180 degrees counterclockwise, then shift 1 unit down. C)Rotate 90 degrees counterclockwise, then shift 1 unit up. D) Rotate 270 degrees counterclockwise, then shift 1 unit down.
The same as 180 degrees clockwise. What do you mean "the answer to"?
For every point A = (x,y) in your figure, a 180 degree counterclockwise rotation about the origin will result in a point A' = (x', y') where: x' = x * cos(180) - y * sin(180) y' = x * sin(180) + y * cos(180) Happy-fun time fact: This is equivalent to using a rotation matrix from Linear Algebra! Because a rotation is an isometry, you only have to rotate each vertex of a polygon, and then connect the respective rotated vertices to get the rotated polygon. You can rotate a closed curve as well, but you must figure out a way to rotate the infinite number of points in the curve. We are able to do this with straight lines above due to the property of isometries, which preserves distances between points.
True
To rotate selected cells 45 degrees counterclockwise in Excel, first select the cells you want to rotate. Then, right-click and choose "Format Cells." In the Format Cells dialog, go to the "Alignment" tab, and use the "Orientation" section to set the text rotation to 45 degrees. Click "OK" to apply the changes.
You dont, its just 90 degrees 3 times..
Ex: -1,-2 Switch the numbers, so with the example it would be -2,-1. Next multiply your x coordinate by -1,so the example would be 2,-1
Most tornadoes in the northern hemisphere, at least 99%, rotate counterclockwise.
You rotate everything to the left, 3/4 of a full turn.As an example of the result, the positive x-axis winds uppointing down from the origin.
Most tornadoes (about 99%) in the northern hemisphere rotate counterclockwise. But most in the southern hemisphere rotate clockwise.
The vast majority of tornadoes in the northern hemisphere rotate counterclockwise.