
Triangle Congruence: Explore whether three specified side or angle measures are sufficient information to determine the existence of a unique triangle (or the congruence of two triangles). Rigid transformations are used to verify the congruence of two triangles. Alternatively, measures of two triangles can be displayed to check for congruence, or created triangles can be manipulated and compared by clicking and dragging. 

Tilings with Triangles or Quadrilaterals: Explore tiling the plane with congruent triangles or quadrilaterals using rotations of 180° about the midpoints of sides. 

Tilings with Regular Polygons: Explore tiling the plane with one or more regular polygons to create regular and semiregular tessellations. 

Design by Robot: Create both simple and complex designs by entering program commands for the robot to draw and move. 

Explore SSA: Experiment with various side and angle measures to explore the sidesideangle condition for triangles. Determine which measurements or intervals of measurements determine no triangle, exactly one triangle, or two noncongruent triangles. 

Explore Similar Triangles: Explore whether two specified side or angle measures are sufficient information to create similar triangles. A sequence of size (dilation) and rigid transformations are used to verify the similarity of two triangles. Alternatively, measures of two triangles can be displayed to check for similarity or compared directly using the mouse. 

Explore Arcs and Angles: Explore the relationship between the measures of inscribed angles and their intercepted arcs. Features include the dragging the points on the circle to change the arc length or angle measure and display measures of angles and arcs. 

Explore Radians: Experiment with measuring angles in radians and with how radian measures are related to degrees and revolutions. Features include guessing a target value displayed in radians, degrees, or revolutions in another unit of measure. 

Slicing or Unfolding Polyhedra: Visualize common polyhedra and manipulate 3D modeling options such as cutting and unfolding. Features include rotating the shape in 3D space and displaying the vertices, edges, and faces of a solid and its topological dual. Transform options include truncate, punch, and stellate. 

Slicing Cones, Cylinders, and Spheres: Dynamically manipulate a plane slicing a single or double cone, cylinder, or sphere and view the corresponding conic section. Features include manipulation of the position of the plane of intersection and the cone itself, identification of the crosssection, and the option to display the wire frame. See also 3D slicing in CAS. 

Surface of Revolution: Draw and manipulate a line or a connected series of line segments in twodimensional space to simultaneously generate a surface of revolution in threedimensional space. Features include choosing the axis of rotation, setting the angle of rotation, and showing the wire frame and quadrilateral faces of the surface of revolution. 