Are These Ellipses?

This example dynamically demonstrates and allows interactive verification of how to determine if given shapes are ellipses through vector operations, rotations, and geometric constructions. Key math concepts include vector arithmetic, 2D space rotations, trigonometric applications, and geometric transformations. Construction highlights involve GeoGebra commands/objects like Point, Rotate, Circle, Textfield, and Segment. Suitable for high school students or teachers exploring ellipse definitions, properties, and the relationship between vectors and geometric transformations.