6th Grade Math Textbook, Fundamentals

 &KDSWHU

9-5

Congruent Angles and Line Segments

Objective To recognize congruent angles and

line segments • To identify line segment bisectors,

midpoints, perpendicular bisectors, and angle bisectors

• To construct the bisector of a given angle and the
  perpendicular bisector of a given line segment

Architects and engineers often need to construct

congruent geometric figures in their daily work.

How would you use a compass and straightedge to

construct congruent line segments?

Figures that are have the same

size and shape.

congruent

Congruent line segments have

the same length.

ABCD

AB

CD

Congruent angles have

the same degree measure.

ABCDEF

A

B

C

D

E

F

XY is the ofMN.

MN

Y

X

perpendicular bisector RT bisects QRS.

R

Q

T

S

In parallelogram EFGH:

FGEHandFEGH

FEHHGF andEFGGHE

1
Matching tick marks and
matching angle marks
indicate congruence.

To a line segment or an angle means to divide it into two congruent

parts. The of a line segment is the point that divides the line

segment into two congruent line segments.

midpoint

bisect

Yis midpoint of MN.

MYYN QRTSRT

E H

F G