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Sec 1 1 Transformation in the Coordinate Plane
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People also ask
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What is the coordinate transformation of the plane?
For example, in the plane, if Cartesian coordinates (x, y) and polar coordinates (r, θ) have the same origin, and the polar axis is the positive x axis, then the coordinate transformation from polar to Cartesian coordinates is given by x = r cosθ and y = r sinθ.
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What type of transformation is image rotation?
Rotation is most commonly used to improve the visual appearance of an image, although it can be useful as a preprocessor in applications where directional operators are involved. Rotation is a special case of affine transformation.
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How to do transformations on a coordinate plane?
Coordinate plane rules: Over the x-axis: (x, y) → (x, –y) Over the y-axis: (x, y) → (–x, y) Over the line y = x: (x, y) → (y, x) Through the origin: (x, y) → (–x, –y)
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What are the coordinates for the origin of the coordinate plane 0 1 1 0 1 1 0 0?
The point where the axes meet is called the origin and has (0, 0) as coordinates.
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What transformation turns an image on a coordinate plane?
Types of Transformations TransformationFunction Rotation Rotates or turns the pre-image around an axis Reflection Flips the pre-image and produces the mirror-image Translation Slides or moves the pre-image Dilation Stretches or shrinks the pre-image
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What are the transformations in the coordinate plane notes?
TRANSFORMATIONS in the Coordinate Plane. A TRANSFORMATION is when a figure or point is moved to a new position in a coordinate plane. This move may include a change in size as well as position. A RIGID TRANSFORMATION when the size and shape remain the same but the figure moves into a new position.
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How to rotate a figure on a coordinate plane?
Here are the rotation rules: 90° clockwise rotation: (x,y) becomes (y,−x) 90° counterclockwise rotation: (x,y) becomes (−y,x) 180° clockwise and counterclockwise rotation: (x,y) becomes (−x,−y) 270° clockwise rotation: (x,y) becomes (−y,x) 270° counterclockwise rotation: (x,y) becomes (y,−x)
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Which transformation is a turn in the coordinate plane?
Rotation (Turn) A shape is rotated around a centre point in a circular motion. It does not have to be turned in a full circle, otherwise it would be back and the same point.
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