CSUNSF Geometry Working Group Materials
Professor Kellie Evans (kellie.m.evans@csun.edu)
Interactive GeoGebra Applets
1. Use the definition of congruence in terms of rigid motions to determine whether the parabolas given in the following applet are congruent. That is, determine whether there is a sequence of "rigid motions" (translations, rotations, reflections) whose composite maps one parabola onto another so that they coincide (match exactly). If there is such a sequence, describe it carefully and precisely.
2. Use the definition of congruence in terms of rigid motions to determine which, if any, of the line segments given in the following applet are congruent.
3. Use the definition of congruence in terms of rigid motions to determine which, if any, of the angles given in the following applet are congruent.
4. Use the definition of congruence in terms of rigid motions to determine which, if any, of the triangles given in the following applet are congruent. If any triangles are congruent, list them by name and carefully describe the sequence of rigid motions which maps one onto the other so that the two coincide.
"Similar" Questions
Are the graphs of the conics given in the following applets congruent? If so, carefully and precisely describe a sequence of rigid motions which maps one onto the other so the two coincide. If not, are the graphs related in another way? Explain.
