Statement Reason- , Given
- VerticalAnglesTheorem
- TransitivePropertyof Congruence
LessonSummary
In this lessonwe provedtheoremsaboutanglepairs.
- Rightanglesare congruent.
- Supplementsof the same,or congruent,anglesare congruent.
- Complementsof the same,or congruent,anglesare congruent.
- Verticalanglesare congruent.
We saw how thesetheoremscan be appliedin simpleor complexfigures.
Pointsto Consider
Adviceto the geometrystudent:
KISS, orKeepItSimple,Student!
No matterhow complicatedor abstractthe modelof a real-worldsituationmay seem,in the final analysisit
can oftenbe expressedin termsof simplelines,segments,and angles.We’ll be able to use the theorems
of this sectionwhenwe encountercomplicatedrelationshipsin futurefigures.
LessonExercises
Use the diagramto answerquestions1-3.
Given: