Geom 5point1and2

5.1 & 5.2 Perpendiculars & Bisectors Objectives: - Use properties of perpendicular bisectors - Use properties of angle bisectors to find distances - Use bisectors in a triangle

Perpendicular Bisectors ,[object Object],[object Object],[object Object],P A B C

Perpendicular Bisectors ,[object Object],[object Object],P A B C

Perpendicular Bisector Theorem ,[object Object],[object Object],P A B C

Converse of the Perpendicular Bisector Theorem ,[object Object],[object Object],P A B C

Show MN is the perpendicular bisector of ST ,[object Object],[object Object],[object Object],[object Object],N T S M Q 12 12

Show MN is the perpendicular bisector of ST ,[object Object],[object Object],N T S M Q 12 12

Properties of Angle Bisectors ,[object Object],[object Object],P m Q

Properties of Angle Bisectors ,[object Object]

Angle Bisector Theorem ,[object Object],[object Object],A B D C

Converse of Angle Bisector Theorem ,[object Object],[object Object],A B D C

Look at p. 267 Example 3 ,[object Object],[object Object],[object Object],[object Object],[object Object]

Using Perpendicular Bisectors of a Triangle ,[object Object]

Concurrent lines ,[object Object]

Concurrent lines ,[object Object],[object Object]

Concurrency of Perpendicular Bisectors of a Triangle Theorem ,[object Object],[object Object]

Useful Stuff! ,[object Object]

Using Angle Bisectors of a Triangle ,[object Object],[object Object],[object Object]

Concurrency of Angle Bisectors of a Triangle Theorem ,[object Object],[object Object]

Look at Example 2, p. 274 ,[object Object],[object Object],[object Object],[object Object]

Look at Example 2, p. 274 ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]

Do p. 275 1-4 ,[object Object]

Geom 5point1and2

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Geom 5point1and2