Perpendicular and angle bisectors

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Learning Targets Prove and apply theorems about perpendicular bisectors. Prove and apply theorems about angle bisectors.

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Presentation transcript:

Perpendicular and angle bisectors 5.1

A _____________________is any segment that intersects a segment at its midpoint.

When the segment bisector is perpendicular to a segment at its midpoint, we call the bisector a _______________ bisector.

When a point is the same distance from two or more objects, the point is said to be _____________ from the objects. Triangle congruence theorems can be used to prove theorems about equidistant points.

A ___________ is a set of points that satisfies a given condition A ___________ is a set of points that satisfies a given condition. The perpendicular bisector of a segment can be defined as the locus of points in a plane that are equidistant from the endpoints of the segment.

What can you conclude about NX and NY? AX and AY? BX and BY?

Is C on the perpendicular bisector?

Find the measure. Given that DE = 20.8, DG = 36.4, and EG =36.4, find EF.

Find each measure. BC

Find the following: VT SR What can you conclude about point U?

A point is on the bisector of an angle if and only if it is equidistant from the two sides.

Find the measure. BC

Find the measure. mEFH, given that mEFG = 50°.

Find mMKL.