FAQ: When does khans rotate?

How do you tell if a rotation is clockwise or counterclockwise?

Rotations may be clockwise or counterclockwise. When working in the coordinate plane: assume the center of rotation to be the origin unless told otherwise. assume a positive angle of rotation turns the figure counterclockwise, and a negative angle turns the figure clockwise (unless told otherwise).

How do you rotate a shape about the origin?

When rotating a point 90 degrees counterclockwise about the origin our point A(x,y) becomes A'(-y,x). In other words, switch x and y and make y negative.

What is the formula for a 90 degree clockwise rotation?

If you want to do a clockwise rotation follow these formulas: 90 = (b, -a); 180 = (-a, -b); 270 = (-b, a); 360 = (a, b).

What is the rule for a 180 degree clockwise rotation?

Rule. When we rotate a figure of 180 degrees about the origin either in the clockwise or counterclockwise direction, each point of the given figure has to be changed from (x, y) to (-x, -y) and graph the rotated figure.

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What are the rules for clockwise rotations?

Terms in this set (9)

  • (-y, x) 90 degree rotation counterclockwise around the origin.
  • (y, -x) 90 degree rotation clockwise about the origin.
  • (-x, -y) 180 degree rotation clockwise and counterclockwise about the origin.
  • (-y, x) 270 degree rotation clockwise about the origin.
  • (y, -x)
  • (x, -y)
  • (-x, y)
  • (y, x)

What is the rule for 360 degree rotation?

360° Rotation A rotation of 360° about a point returns a figure to its original position. That is, the image under a 360° rotation is equal to the preimage. Copy each figure and point K. Then use a protractor and ruler to draw a rotation of the figure the given number of degrees about K.

What is rotation example?

Rotation is the process or act of turning or circling around something. An example of rotation is the earth’s orbit around the sun. An example of rotation is a group of people holding hands in a circle and walking in the same direction. noun.

Why don’t you need to know the direction of rotation when the angle of rotation is 180 degrees?

Since 180 degrees is exactly halfway around a circle (which is 360 degrees), moving either clockwise or counterclockwise would get you to the same point.

What is the angle of rotation of a triangle?

The order of rotational symmetry of an equilateral triangle is three. The angle of rotation is 120º.

How do you rotate a shape with a point?

A point (a, b) rotated around a point (x, y) 90 degrees will transform to point (-(b-y) + x, (a-x) + y). A point (a, b) rotated around a point (x, y) 180 degrees will transform to point (-(a – x) + x, -(b – y) + y).

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How do you rotate a shape 45 degrees?

If we represent the point (x,y) by the complex number x+iy, then we can rotate it 45 degrees clockwise simply by multiplying by the complex number (1−i)/√2 and then reading off their x and y coordinates. (x+iy)(1−i)/√2=((x+y)+i(y−x))/√2=x+y√2+iy−x√2. Therefore, the rotated coordinates of (x,y) are (x+y√2,y−x√2).

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