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The point with coordinates (p, q) will be rotated to the point with coordinates [(p - q)/sqrt(2), (p + q)/sqrt(2)].

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How do you rotate a figure 270 degrees counterclockwise about origin?

To rotate a figure 270 degrees counterclockwise about the origin, you can achieve this by rotating it 90 degrees clockwise, as 270 degrees counterclockwise is equivalent to 90 degrees clockwise. For each point (x, y) of the figure, the new coordinates after the rotation will be (y, -x). This transformation effectively shifts the figure to its new orientation while maintaining its shape and size.


How do you rotate 90 degrees counter-clockwise?

To rotate an object 90 degrees counter-clockwise, you can visualize or use a coordinate system. If you have a point (x, y), the new coordinates after the rotation will be (-y, x). For more complex shapes, apply this transformation to each point of the shape. Alternatively, if you're working with a physical object, simply turn it left (counter-clockwise) until it is oriented 90 degrees from its original position.


What is something rotated 270 degrees clockwise?

When an object is rotated 270 degrees clockwise, it effectively turns three-quarters of the way around a pivot point. For example, if you take the letter "L" and rotate it 270 degrees clockwise, it will end up facing downward, resembling a backward "J." This transformation alters the orientation of the object while maintaining its shape and dimensions.


What degrees can you rotate a shape at?

A shape can usually be rotated through a full circle of 360 degrees.


Why do early Dodge Brothers car engines rotate counter clockwise?

shape of the crankshaft...........


If a shape is rotated by a half turn how many degrees did it rotate?

180 degrees


How do you rotate Photoshop brushes?

open a blank document then grab a brush palette.Pick a pattern anything but round in shape from brushes palette.In the brush palette select brush tip shape.Check out for options and flip x, flip y or any angle.


What happens when you rotate a shape 45 degrees?

When you rotate a shape 45 degrees, each point of the shape moves around a fixed pivot point (the center of rotation) in a circular path. The new position of the shape will be at an angle of 45 degrees from its original orientation, altering its alignment but preserving its size and shape. This rotation can affect how the shape interacts with other objects or its placement on a coordinate grid. The overall characteristics, such as area and perimeter, remain unchanged.


What does it mean to rotate about the origin?

To rotate about the origin means to turn a point or shape around the origin (0, 0) of a coordinate system by a specified angle. This transformation alters the coordinates of the point or shape while keeping the origin fixed. The new position is determined using trigonometric functions, specifically sine and cosine, based on the angle of rotation. This concept is commonly used in geometry and computer graphics to manipulate objects in a plane.


How does Jupiter rotate?

Jupiter rotates on its axis, completing one full rotation approximately every 9.9 hours. This rapid rotation causes the planet to have an oblate shape, bulging at the equator and flattening at the poles.


Make a quarter turn clockwise Walk 5 steps?

A quarter turn clockwise is 90 degrees to the right ..you can figure out 90 degrees as it is an L shape. Then walk 5 steps in the direction you are aimed towards ..i hope that's what you are asking lol


Does pentagon the shape have symmetry in it?

A general pentagon may have no symmetries at all. A regular pentagon has five symmetry axes - each one connecting a vertex with the middle of the edge opposite this vertex. A regular pentagon also has rotational symmetry - if you rotate it by any multiple of 72 degrees clockwise or anti-clockwise you get a regular pentagon as well. Please also see the related link below.