plotlist([[0,3],[2,1],[4,4],[0,3]]) draws a triangle
Slider
Creates a slider bar that can be used to control the value of a parameter. A dialog box displays the slider bar
denition and any animation for the slider. When completed, the slider bar appears near the top left of Plot
view. You can then move it to another location.
Transform
Translation
Translates a geometric object along a given vector. The vector is given as the dierence of two points (head-
tail).
translation(vector, object)
Examples:
translation(0-i, GA) translates object A down one unit.
translation(GB-GA, GC) translates object C along the vector AB.
Reection
Reects a geometric object over a line or through a point. The latter is sometimes referred to as a half-turn.
reflection(line, object) or reflection(point, object)
Examples:
reflection(line(x=3),point(1,1)) reects the point at (1, 1) over the vertical line x=3 to create a
point at (5,1).
reflection(1+i, 3-2i) reects the point at (3,–2) through the point at (1, 1) to create a point at (–1,
4).
Rotation
Rotates a geometric object, about a given center point, through a given angle.
rotate(point, angle, object)
Example:
rotate(GA, angle(GB, GC, GD),GK) rotates the geometric object labeled K, about point A, through
an angle equal to ∡CBD.
Dilation
Dilates a geometric object, with respect to a center point, by a scale factor.
homothety(point, realk, object)
Example:
homothety(GA, 2, GB) creates a dilation centered at point A that has a scale factor of 2. Each point P
on geometric object B has its image P’ on ray AP such that AP’=2AP.
Similarity
Dilates and rotates a geometric object about the same center point.
Geometry functions and commands 199
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