Rotation | PBS LearningMedia (2024)

FAQs

What is the rule for rotating 90 degrees? ›

Here are the rotation rules: 90° clockwise rotation: (x,y) becomes (y,−x) 90° counterclockwise rotation: (x,y) becomes (−y,x)

Rotation means the circular movement of an object around a centre. It is possible to rotate different shapes by an angle around the centre point. Mathematically, a rotation means a map. All the rotations around a fixed point that make a group under a structure are called the rotation group of a unique space.

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The rotational symmetry of a shape explains that when an object is rotated on its own axis, the shape of the object looks the same. Many geometrical shapes appear to be symmetrical when they are rotated 180 degrees or with some angles, clockwise or anticlockwise. Some of the examples are square, circle, hexagon, etc.

The amount of rotation is called the angle of rotation and it is measured in degrees. Rotating a figure 270 degrees clockwise is the same as rotating a figure 90 degrees counterclockwise.

270 Degree Rotation

When rotating a point 270 degrees counterclockwise about the origin our point A(x,y) becomes A'(y,-x). This means, we switch x and y and make x negative.

The mathematical notation for rotation is usually written like this: R (center, rotation), where the center is the point of rotation and the rotation is given in degrees. Often, rotations are written using coordinate notation, which means that their coordinates on the coordinate plane are given.

To fully describe a rotation, it is necessary to specify the angle of rotation, the direction, and the point it has been rotated about. Image caption, For a rotation of 180° it does not matter if the turn is clockwise or anti-clockwise, as the outcome is the same.

Rotation is circular movement. A rotation is the movement of something through one complete circle. ... the daily rotation of the earth upon its axis. Synonyms: revolution, turning, turn, wheel More Synonyms of rotation.

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Order of rotation is termed as number of times a figure looks the same in complete, 360∘ rotation and it can also be calculated using angle of rotation. Order of rotation of a figure can be given by360∘angle of rotation.

We also see rotational symmetry existing in daily life such as exhaust fans, windmills, etc. Below is an example of rotational symmetry shown by a starfish. If the starfish is turned around point P, it looks similar from all directions.

When you rotate by 90 degrees, you take your original X and Y, swap them, and make Y negative. So from 0 degrees you take (x, y), swap them, and make y negative (-y, x) and then you have made a 90 degree rotation.

Answer: To rotate the figure 90 degrees clockwise about a point, every point(x,y) will rotate to (y, -x). Let's understand the rotation of 90 degrees clockwise about a point visually. So, each point has to be rotated and new coordinates have to be found. Then we can join the points and find the new positioned figure.