CK12 - Geometry

5. Yes


6. No


7. No


8. No


9. No


10. No

11.

12.

13.

14.

15.

Statement Reason

Given

1. bisects


2. = Definitionof anglebisector


3. 
   
   
   
   • = AngleAdditionPostulate
   
   
   
   


4. Given


5. Definitionof perpendicularsegments


6. 
   
   
   
   • Substitution
   
   
   
   


7. Algebra(DistributiveProperty)


8. MultiplicationPropertyof Equality

Segmentand AngleCongruenceTheorems

LearningObjectives

• Understandbasiccongruenceproperties.


• Provetheoremsaboutcongruence.

Introduction

In an earlierlessonyou reviewedmanyof the basicpropertiesof equality. Propertiesof equalityare about
numbers.Anglesand segmentsare not numbers,but their measuresare numbers.Congruenceof angles
and segmentsis definedin termsof thesenumbers.To provecongruenceproperties,we immediatelyturn