Terms in this set (9)
  1. (-y, x) 90 degree rotation counterclockwise around the origin.
  2. (y, -x) 90 degree rotation clockwise about the origin.
  3. (-x, -y) 180 degree rotation clockwise and counterclockwise about the origin.
  4. (-y, x) 270 degree rotation clockwise about the origin.
  5. (y, -x)
  6. (x, -y)
  7. (-x, y)
  8. (y, x)

In this way, what is the formula for rotating 90 degrees counterclockwise?

90 degrees, the rule is (x, y) ——–> (y, -x) -180 degrees, the rule is (x, y) ——–> (-x, -y) -270 degrees, the rule is (x, y) ——–> (-y, x)

Beside above, what is the formula for rotating 180 degrees counterclockwise? 180 degrees is (-a, -b) and 360 is (a, b). 360 degrees doesn't change since it is a full rotation or a full circle. Also this is for a counterclockwise rotation. If you want to do a clockwise rotation follow these formulas: 90 = (b, -a); 180 = (-a, -b); 270 = (-b, a); 360 = (a, b).

Thereof, which way is counterclockwise to the left or right?

Answer: counter clockwise the is rotation or movement of an object which is in the opposite direction of any clock. When we see from the top, the circular rotation moves to the left, and from the bottom rotation moves to the right.

What are the rules for counterclockwise 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)

Related Question Answers

Which way is clockwise?

A clockwise (typically abbreviated as CW) motion is one that proceeds in the same direction as a clock's hands: from the top to the right, then down and then to the left, and back up to the top.

How do you describe rotation?

A rotation is a turn of a shape. A rotation is described by the centre of rotation, the angle of rotation, and the direction of the turn. The centre of rotation is the point that a shape rotates around. Each point in the shape must stay an equal distance from the centre of rotation.

What is a 90 degree turn?

A 90degree turn is one-quarter of turn regardless of direction. If a person imagines himself standing looking straight ahead and then turning to face the right side or the left side, he has made a 90degree turn. A circle contains 360 degrees.

How do you write a reflection Rule?

To write a rule for this reflection you would write: rx−axis(x,y) → (x,−y). Notation Rule A notation rule has the following form ry−axisA → B = ry−axis(x,y) → (−x,y) and tells you that the image A has been reflected across the y-axis and the x-coordinates have been multiplied by -1.

What is a 270 rotation?

Rotating a Triangle 270 Degrees Counterclockwise:

One such rotation is to rotate a triangle 270° counterclockwise, and we have a special rule that we can use to do this that is based on the fact that a 270° counterclockwise rotation is the same thing as a 90° clockwise rotation.

What is the rule for translation?

In a translation, every point of the object must be moved in the same direction and for the same distance. When you are performing a translation, the initial object is called the pre-image, and the object after the translation is called the image.

How do you graph rotation?

Graph A(5, 2), then graph B, the image of A under a 90° counterclockwise rotation about the origin. Rule for 90° counterclockwise rotation: A (5, 2) B (- 2, 5) Now graph C, the image of A under a 180° counterclockwise rotation about the origin.

How do you rotate around 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). A point (a, b) rotated around the origin 270 degrees will transform to point (b – y + x, -(a – x) + y).

What is a rotation in math?

A rotation is a transformation that turns a figure about a fixed point called the center of rotation. • An object and its rotation are the same shape and size, but the figures may be turned in different directions. • Rotations may be clockwise or counterclockwise.

Which way is 90 degrees clockwise?

Rotation of point through 90° about the origin in clockwise direction when point M (h, k) is rotated about the origin O through 90° in clockwise direction. The new position of point M (h, k) will become M' (k, -h). Worked-out examples on 90 degree clockwise rotation about the origin: 1.

Which way does the fan switch go in the winter?

Clockwise Fan Direction for Warm Winter Comfort

In the winter, ceiling fans should rotate clockwise at a low speed to pull cool air up. The gentle updraft pushes warm air, which naturally rises to the ceiling, down along the walls and back the floor.

Why is clockwise to the right?

Ultimately, this type of clock became ubiquitous, and gave rise to the term “clockwise“, meaning “following the motion of the hands of the clock”. Since the hands of the clock appear to move to the right, “clockwise” and “right” became associated, and are treated as interchangeable when referring to circular motion.