CK12 - Geometry

washthe car evenif the weatherisnotnice. Converse,Inverse,and Contrapositiveof an If-ThenStatement Lookat statement1 aboveagain. ...

contrapositive,then you can do this sincethe statementand its contrapositiveare equivalent. Example 1 If then. True. Statement: ...

We read as: “ if and only if ” Example 3 True statement: if and only if is an obtuseangle. You can breakthis downto say: If then ...

We saw abovethat the if part of this statement,whichis If then This statementis false.One counterexampleis. Notethat if either o ...

Write in words. Write in words. Is true? Is true? Is true? Notethat in thesequestions, and couldbe reversedand the answerswouldb ...

DeductiveReasoning LearningObjectives Recognizeand applysomebasicrulesof logic. Understandthe differentpartsthat inductivereaso ...

Example 3 Supposethe followingtwo statementsare true. 1.If you love me let me know, if you don’tthen let me go.(A countrymusiccl ...

Hereare two true statements. If and are a linearpair, then. and are a linearpair. Whatconclusiondo we drawfrom thesetwo statemen ...

If Markis late, Wen will be late. If Wen is late, Karl will be late. To these,add one moretrue statement. Pete is late. One ...

Inductivereasoningmeansreasoningfrom examples.You may look at a few examples,or many. Enough examplesmightmakeyoususpectthat a r ...

How can and be true?Commonsensetells us that and is falsewhenevereither or is false. We completethe last columnaccordingly. T T ...

writetwo-columnproofs.The factsor relationshipsthat we proveare calledtheorems. LessonExercises Mustthe third sentencebe true if ...

T T T F F T F F 9. T T T F F T F F Whenis true? For whatvaluesof is the followingstatementtrue? or For whatvaluesof is the fo ...

T F T F T T Notethat isalwaystrue. T T F F F T F F T F F T T F F F F T T T Notethat is true only when and arebothfalse. ...

take on new life whenexpressedin the contextof geometry. Propertiesof Equality All thingsbeingequal,in mathematicsthe word“equal ...

AdditionPropertyof Equality: If , then. Translation:You can add the samenumberto both sidesof an equation. Example:If , then. ...

If , then. SymmetricPropertyof Congruenceof Angles: TransitivePropertyof Equality: If and , then TransitivePropertyof Congruence ...

, Theseare the givenfacts. Substitute for usingthe transitive property. Additionpropertyof equality;add to both sides. Arithmeti ...

Notethat this chaincouldbe extendedwith additionallinks. Let be the relation“is the motherof.” Let be the relation“is the brothe ...

A correctresponseis a diagramshowing: -. •. • . If , , and are collinearand , , and are not collinearthen the conditionsare sati ...