This is important to know because as you rotate around the origin and you end up in a different quadrant, the coordinates on your point will always match the coordinates of the quadrant.Rotations in Math takes place when a figure spins around a central point.
Rotation Rules in Math can be either clockwise or counter-clockwise. When Rotating in Math you must flip the x and y coordinates for every 90 degrees that you rotate. The sign of your final coordinates will be determined by the quadrant that they lie in. The last step for Rotation in Math is to write the coordinates of the new location of the figure. Another Rotation Rule is that he x and y coordinates will switch positions for every 90 degrees that you rotate. The sign of the x and y coordinates will depend on which quadrant the coordinate is in. If you are rotating counter-clockwise, the figure moves in the opposite direction that a clock moves. Geometry Rotation Clockwise Counterclockwise For Free By ClickingGeometry Rotation Clockwise Counterclockwise Free By ClickingYou can get the worksheet used in this video for free by clicking on the link in the description below. Thats the direction you would be rotating or spinning the object on the coordinate grid. Counterclockwise refers to the opposite direction of clockwise, or in this case the opposite way that the hands move on a clock. These are the two ways you can rotate a figure on the coordinate grid. It would rotate this way and it would become a prime down here. You could also take a and rotate it counterclockwise which would go in this direction, and then a prime would be over here. If we rotate one quadrant either clockwise or counter clockwise that would be a 90 degree rotation. Geometry Rotation Clockwise Counterclockwise Plus 90 OrIf we rotate it again it would be 90 more degrees or total from this point to this point would be 90 plus 90 or 180 degrees total. In this case were going clockwise and then if we went 90 more degrees, or if we want one more quadrant, it would be 90 more degrees and then total it would be 90 plus 90 plus 90 or 270 degrees total rotation. The same rotation rules would apply when going in the counterclockwise direction. If we go this way, its still 90 and then if we go one more quadrant its 90 more again, and then 180 total. The quadrants are labeled in a counterclockwise rotation around the origin. This is quadrant one, quadrant two, quadrant three, and finally quadrant four. Every single coordinate in quadrant one will have a positive x value and a positive Y value, every single coordinate in quadrant two will have a negative x value and a positive Y value, quadrant three every single coordinate is negative negative, and then quadrant four every single coordinate is positive x and a negative Y.
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