Frieze Groups

Answer Key

Be sure to discuss the answers with the students so that they understand why some problems have more than one answer.

Lengthwise Symmetry

     Hop       

           translation    reflection



     Spinhop   

           translation    reflection



     Jump      

           translation    reflection



     Sidle     

           translation    reflection



     Step      

           translation    reflection



     Spinjump  

           translation    reflection



     Spinsidle 

           translation    reflection

Crosswise Symmetry

     Jump      

      reflection    glide reflection    halfturn    none



     Spinhop   

      reflection    glide reflection    halfturn    none



     Hop       

      reflection    glide reflection    halfturn    none



     Sidle     

      reflection    glide reflection    halfturn    none



     Step      

      reflection    glide reflection    halfturn    none



     Spinjump  

      reflection    glide reflection    halfturn    none



     Spinsidle 

      reflection    glide reflection    halfturn    none