Can you concludethat If true, provethe assertion.If false,providea counterexample.
Answers
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2.
3. ,
4.
5.
a.b.- Find midpoint and then the slopeof. Find the line through parallelto (line ). Find
the equationof the line that includes (line ). Find the intersectionof lines and.
7. ,
8. ,
9.
10.
a. The perimeterof is The perimeterof isb. The perimeterof the midsegmenttrianglewill alwaysbe half the perimeterof the originaltriangle.- Use the givensand Theorem5-1 to showthat point is the midpointof.
- The assertionis true.UsingTheorem5-1, it can be shownthat the trianglesare congruentby SSS
postulate.
PerpendicularBisectorsin Triangles
LearningObjectives
- Constructthe perpendicularbisectorof a line segment.
- Applythe PerpendicularBisectorTheoremto identifythe pointof concurrencyof the perpendicularbisec-
tors of the sides(the circumcenter).