Exact Science

Curriculum

Symmetry

Subject: MathematicsCourse: Olympiad MathematicsAges: Primary, JuniorPrimary age: Primary

Problems

  1. Find all lines of symmetry for each picture:  
http://mmmf.msu.ru/archive/20152016/z4_Podgaits/02_01.png
http://mmmf.msu.ru/archive/20152016/z4_Podgaits/02_02.png
http://mmmf.msu.ru/archive/20152016/z4_Podgaits/02_03.png

  1. Write down your name and surname and draw their reflections in a) vertical, b) horizontal mirrors.
  1. Draw how the figures in the mirrors will look like.
http://mmmf.msu.ru/archive/20152016/z4_Podgaits/02_04.png

         

http://mmmf.msu.ru/archive/20152016/z4_Podgaits/02_05.png

  1. The necklace consists of 8 beads, located at the same distance from each other. Paint some beads in one colour from the necklace such that the necklace does not have any lines of symmetry.

  1. Use these three piles to make a shape with only one line of symmetry.  
http://mmmf.msu.ru/archive/20152016/z4_Podgaits/02_06.png

  1. There are two perpendicular mirrors here. Draw all reflections.
http://mmmf.msu.ru/circles/z3_Podgaits/02_02.jpg