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# 1.5 Segment & Angle Bisectors - PowerPoint PPT Presentation

1.5 Segment & Angle Bisectors. Goals:. Students will understand geometric concepts and applications. Bisect a segment. Bisect an angle. Remember!. Congruent means,… equal to each other!. Midpoint. The point that bisects a segment. Bisects ? splits into 2 equal pieces. 12x+3=10x+5

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### 1.5 Segment & Angle Bisectors

Students will understand geometric concepts and applications.

• Bisect a segment.

• Bisect an angle.

• Congruent means,…

• equal to each other!

• The point that bisects a segment.

• Bisects?

splits into 2 equal pieces

12x+3=10x+5

2x=2

x=1

A M B

12x+3 10x+5

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

k

A

M

B

• Used for finding the coordinates of the midpoint of a segment in a coordinate plane.

• If the endpoints are (x1,y1) & (x2,y2), then

Ex: Find the midpoint of SP if S(-3,-5) & P(5,11).

Ex: The midpoint of AB is M(2,4). One endpoint is A(-1,7). Find the coordinates of B.

• A ray that divides an angle into 2 congruent adjacent angles.

BD is an angle bisector of <ABC.

A

D

B

C

Ex: If FH bisects EFG & mEFG=120o, what is mEFH?

E

H

F

G

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