Warm Up 11.28.11 Week 7 1) What is the value of x? 28 ⁰ x⁰x⁰ 3x ⁰.

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Presentation transcript:

Warm Up Week 7 1) What is the value of x? 28 ⁰ x⁰x⁰ 3x ⁰

A B Geometry 5.1 Day 1 I will use properties of perpendicular bisectors. A segment, ray, line or plane that is perpendicular to a segment at its midpoint. Perpendicular Bisector Ex 1 midpoint M C ≅ is a perpendicular bisector.

When a point is the same distance from two points. Equidistant Ex 2 A B P C CA = CB

Perpendicular Bisector Theorem If a point is on the perpendicular bisector of a segment, then it is equidistant from the endpoints. Theorem 5.1 A B P C If is the perpendicular bisector of then CA = CB.

Perpendicular Bisector Theorem Converse If a point is equidistant from the endpoints of a segment, then it is on the perpendicular bisector. Theorem 5.2 If DA = DB, then D is on the perpendicular bisector. C A B P D

M N T Q S 12 Ex 3 Is Q on ?is perp. bisector of ≅ Perpendicular Bisector Theorem ( 5.1 ) ≅ because is a perp bisector Q is equidistant between T and S Given Q is on the perp bisector of T and S which is

Do 1 : M N T Q S is a perp bisector of. What is the measure of ?