Section 1.5 Segment & Angle Bisectors 1/12. A Segment Bisector A B M k A segment bisector is a segment, ray, line or plane that intersects a segment at.

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Presentation transcript:

Section 1.5 Segment & Angle Bisectors 1/12

A Segment Bisector A B M k A segment bisector is a segment, ray, line or plane that intersects a segment at its midpoint. 2/12

A Midpoint ABM M is the midpoint of segment AB, if and only if, 3/12

An Angle Bisector  An angle bisector is a ray that divides an angle into 2 congruent adjacent angles. BD is an angle bisector of <ABC. B A C D * * 4/12

Example #1 ABM What is the value of x? AM = 7x + 7 MB = 35 cm 5/12

Example #2 x+40 o 3x-20 o * * What is the value of x? 6/12

Example #3 ABM What is the value of x? AM = 3x + 2 AB = 64 cm 7/12

Midpoint Formula 8/12

Midpoint Formula Example #1 Find the midpoint of segment AB with endpoints A(1, 3) and B (5, 11). 9/12

Midpoint Formula Example #2 Find the midpoint of segment AB with endpoints A(-1, 3) and B (6, -2). 10/12

Midpoint Formula Example #3 The midpoint of segment XY is M(3, -4). One endpoint is Y(-3, -1). Find the other endpoint. 11/12

Homework 1.5 P – 13, /12