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.
T T F T T
T F T T T
F T F T F
F F T T F
- is alwaystrue exceptwhen , , and are all false.
 
11.
- none,
 
AlgebraicProperties
LearningObjectives
- Identifyand applypropertiesof equality.
 - Recognizepropertiesof congruence“inherited”from the propertiesof equality.
 - Solveequationsand cite propertiesthat justifythe stepsin the solution.
 - Solveproblemsusingpropertiesof equalityand congruence.
 
Introduction
We havebegunto assemblea toolboxof buildingblocksof geometry(points,lines,planes)and rulesof
logicthat governdeductivereasoning.Now we start to expandour geometricknowledgeby applyinglogic
to the geometricbuildingblocks.We’ll makea smoothtransitionas somefundamentalprinciplesof algebra