1.5 Segment & Angle Bisectors

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1.5 Segment &amp; Angle Bisectors. Geometry Fall 2005 Mrs. Spitz. Standard/Objective. Standard 3: Students will understand geometric concepts and applications. Objectives: Bisect a segment. Bisect an angle. Assignment:. pp. 38-40 #2-48 Even and Practice Quiz – pg. 42 #1-6 all.

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### 1.5 Segment & Angle Bisectors

Geometry

Fall 2005

Mrs. Spitz

Standard/Objective

Standard 3: Students will understand geometric concepts and applications.

Objectives:

• Bisect a segment.
• Bisect an angle.
Assignment:
• pp. 38-40 #2-48 Even and
• Practice Quiz – pg. 42 #1-6 all
Always Remember!
• If they are congruent, then set their measures equal to each other!
Midpoint
• The point that bisects a segment.
• Bisects?

splits into 2 equal pieces

A M B

12x+3 10x+5

12x+3=10x+5

2x=2

x=1

Segment Bisector
• A segment, ray, line, or plane that intersects a segment at its midpoint.

k

A

M

B

Compass & Straightedge
• Tools used for creating geometric constructions
• We will do a project with these later.
Midpoint Formula
• Used for finding the coordinates of the midpoint of a segment in a coordinate plane.
• If the endpoints are (x1,y1) & (x2,y2), then
Angle Bisector
• A ray that divides an angle into 2 congruent adjacent angles.

BD is an angle bisector of <ABC.

A

D

B

C

Last example: Solve for x.

* If they are congruent, set them equal to each other, then solve!

x+40o

x+40 = 3x-20

40 = 2x-20

60 = 2x

30 = x

3x-20o