CK12 - Geometry

Your workon this problemis now complete.The final answeris 10 cm.

LessonSummary

In this lesson,we exploredproblem-solvingstrategies.Specifically, we havelearned:

• How to read and understandgivenproblemsituations.


• How to use multiplerepresentationsto restateproblemsituations.


• How to identifyproblem-solvingplans.


• How to solvereal-worldproblemsusingplanningstrategies.

Theseskillsare importantfor any type of problem,whetheror not it is aboutgeometry. Practicebreaking
downdifferentproblemsin otherpartsof your life usingthesetechniques.Formingplansand usingstrategies
will help you in a numberof differentways.

Pointsto Consider

This chapterfocusedon the basicpostulatesof geometryand the mostcommonvocabularyand notations
usedthroughoutgeometry. The followingchaptersfocuson the skillsof logic,reasoning,and proof.Review
the materialin this chapterwhenevernecessaryto maintainyour understandingof the basicgeometric
principles.Theywill be necessaryas you continuein your studies.

LessonExercises

1. Supposeone line is drawnin a plane.How manyregionsof the planeare created?


2. Supposetwo linesintersectin a plane.How manyregionsis the planedividedinto?Drawa diagramof
   your answer.


3. Now supposethreecoplanarlines intersectat the samepointin a plane.How manyregionsis the plane
   dividedinto?Drawa diagramof your answer.


4. Makea tablefor the caseof 4, 5, 6, and 7 coplanarlines intersectingat one point.


5. Generalizeyour answerfor number4. If coplanarlines intersectat one point,the planeis dividedinto
   __regions.


6. Bindilives twelvemilessouthof Cindy. Mari lives five mileseast of Bindi.Whatis the distancebetween
   Cindy'shouseand Mari’s house?

a. Modelthis problemby drawingit on a coordinategrid. Let Bindi’s housebet at the origin,(0,0).Use the

labels for Bindi’s house, for Mari’s house,and for Cindy’s house.