Geometric Transformations

If you assign one of the following commands to a new name, a copy of the moved object will be produced. The command Mirror[A, g] mirrors point A at line g and changes point A's location. Entering B = Mirror[A, g] will produce a new point B while A is left unchanged.

Translate

Translate[point A, vector v]

Translates point A by the vector v

Translate[line g, vector v]

Translates line g by the vector v

Translate[conic c, vector v]

Translates conic c by the vector v

Translate[function c, vector v]

Translates function f by the vector v

Translate[polygon P, vector v]

Translates polygon P by the vector v. New vertices and segments are created too.

Translate[image p, vector v]

Translates image p by the vector v

Translate[vector v, Point p]

Translates vector v to point p

Rotate

Rotate[point A, angle phi]

Rotates point A by angle phi around the axis origin

Rotate[vector v, angle phi]

Rotates vector v by angle phi

Rotate[line g, angle phi]

Rotates line g by angle phi around the axis origin

Rotate[conic c, angle phi]

Rotates conic section c by angle phi around the axis origin

Rotate[polygon P, angle phi]

Rotates polygon P by angle phi around the axis origin. New vertices and segments are created too.

Rotate[image p, angle phi]

Rotates image p by angle phi around the axis origin

Rotate[point A, angle phi, point B]

Rotates point A by angle phi around point B

Rotate[line g, angle phi, point B]

Rotates line g by angle phi around point B

Rotate[conic c, angle phi, point B]

Rotates conic section c by angle phi around point B

Rotate[polygon P, angle phi, point B]

Rotates polygon P by angle phi around point B. New vertices and segments are created too.

Rotate[image p, angle phi, point B]

Rotates image p by angle phi around point B

Mirror

Mirror[point A, point B]

Mirror point A at point B

Mirror[line g, point B]

Mirror line g at point B

Mirror[conic c, point B]

Mirror conic section c at point B

Mirror[polygon P, point B]

Mirror polygon P at point B. New vertices and segments are created too.

Mirror[image p, point B]

Mirror image p at point B

Mirror[point A, line h]

Mirror point A at line h

Mirror[line g, line h]

Mirror line g at line h

Mirror[conic c, line h]

Mirror conic c at line h

Mirror[polygon P, line h]

Mirror polygon P at line h. New vertices and segments are created too.

Mirror[image p, line h]

Mirror image p at line h

Dilate

Dilate[point A, number f, point S]

Dilates point A from point S using the factor f

Dilate[line h, number f, point S]

Dilates line h from point S using the factor f

Dilate[conic c, number f, point S]

Dilates conic section c from point S using the factor f

Dilate[polygon P, number f, point S]

Dilates polygon P from point S using the factor f. New vertices and segments are created too.

Dilate[image p, number f, point S]

Dilates image p from point S using the factor f