Geometric Conversions

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Geometric Transformation Matrices:

Translation: [x' y' 1] = [x y 1] × [[1 0 tx], [0 1 ty], [0 0 1]]
Rotation: [x' y'] = [x y] × [[cos(θ) -sin(θ)], [sin(θ) cos(θ)]]
Reflection (X-axis): [x' y'] = [x y] × [[1 0], [0 -1]]
Reflection (Y-axis): [x' y'] = [x y] × [[-1 0], [0 1]]
Scaling: [x' y'] = [x y] × [[sx 0], [0 sy]]
Shear: [x' y'] = [x y] × [[1 kx], [ky 1]]

Geometric Conversions

Operation

Translation Rotation Reflection Scaling Shear

Points (x,y format, separated by commas)

Enter the x,y coordinates for each point and separate them with ;

X Shift

Y Shift

Angle (degrees)

Reflection Axis

X Axis

Y Axis

X Scale

Y Scale

X Shear

Y Shear

Enter the values, the result will be displayed.

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