CK12 - Geometry

Example 1 Constructa circumscribedtriangleusinga compassand a straightedge. Drawtriangle with your straightedge. Use your compa ...

Example 2 Constructa circumscribedtriangleusingThe Geometer’s Sketchpad(GSP) We can use the commandsof GSPto constructthe circum ...

As a furtherexploration,try the followingwith paper: Cut out any trianglefrom a sheetof paper. Fold the the triangleover one si ...

2. 3. Basedon your constructionsin 1-3, statea conjectureaboutthe relationshipbetweena triangleand the locationof its circumcen ...

b. a rectangle c. a parallelogram d. Fromyour workin a-c, whatconditionmusthold in orderto circumscribea quadrilateral? Conside ...

Supposethreecities and are situatedas follows. The leadersof thesecitieswish to constructa new healthcenterthat is equidistant ...

Prove: is the perpendicularbisectorof. Answers 1. 2. 3. ...

If triangle is acute,then the circumcenterlies insideof the triangle.If triangle is obtuse, then the circumcenterlies outsideo ...

True. See the solutionto problem10 to verifythis fact. a. Constructthe perpendicularbisectorof. Notethat the slopeof is. b ...

AngleBisectorTheoremand its Converse We can provethe followingpair of theoremsaboutanglebisectors. AngleBisectorTheorem:If a poi ...

By the AAS postulate,we have. So by CPCTC(correspondingpartsof congruenttrianglesare congruent). Therefore is equidistantfrom ...

Consider. We can constructthe anglebisectorsof and intersectingat point as follows. We will showthat point is equidistantfrom s ...

Inscribethe followingtriangleusinga compassand a straightedge. Drawtriangle with your straightedge. Use your compassto construc ...

You can constructthe anglebisectorsof the anglesby first designatingthe angleby selectingthe appro- priatevertices(e.g.,to sel ...

Definedthe anglebisectorof an angle. Statedand provedthe AngleBisectorTheorem. Solvedproblemsusingthe AngleBisectorTheorem. Con ...

b. a rectangle c. a parallelogram d. a rhombus ...

e. Fromyour workin a-d, whatconditionmusthold in orderto circumscribea quadrilateral? Considerequilateraltriangle. Constructthe ...

sibilitiesfor locatingpoints and Usinga pieceof tracingor PattyPaper, constructan equilateraltriangle.Bisectone angleby foldin ...

2. 3. a. Yes b. No: Bisectorsare not concurrentat a point. c. No: Bisectorsare not concurrentat a point. d. Yes e. Anglebisector ...

The statementis true in the caseof an equilateraltriangle.In addition,for squaresthe statementis also true. We do not get six c ...