CK12 - Geometry

3. Yes


4. Yes


5. Yes


6. Yes


7. Yes


8. Equilateraltriangle,square,regularhexagon


9. One exampleis shownhere

Theseare regularhexagonswith equilateraltrianglesthat fit in to exactlyfill the spacebetweenthe hexagons.

Symmetry

LearningObjectives

• Understandthe meaningof symmetry.


• Determineall the symmetriesfor a givenplanefigure.


• Drawor completea figurewith a givensymmetry.


• Identifyplanesof symmetryfor three-dimensionalfigures.

Introduction

You knowa lot aboutsymmetry, evenif you haven’tstudiedit before.Symmetryis foundthroughoutour
world—boththe naturalworldand the human-madeworldthat we live in. You may havestudiedsymmetry
in mathclasses,or evenin otherclassessuchas biologyand art, wheresymmetryis a basicprinciple.

The transformationswe developedin earlierworkhavecounterpartsin symmetry. We will focushereon
threeplanesymmetriesand a three-dimensionalsymmetry.

• line symmetry


• rotationalsymmetry