1. Congruent Polygons
October 2, 2015

2. Congruence
Congruent () – have the same size and shape. Congruent Polygon – corresponding sides and angles are all congruent Corresponding – sides and angles that have the same position in different figures

3. ∆ABC  ∆YXZ ∆BAC  ∆XYZ  A  Y B  X  C  Z  Y X Z A B C Ex 1
Corresponding Angles
Corresponding Sides 
A  Y
B  X 
C  Z 

4.  A  M B  N  C  O   D  P Ex 2
Identify corresponding sides and corresponding
angles of the congruent polygons.
Corresponding Angles
Corresponding Sides 
A  M
B  N 
C  O  
D  P

5.  A  P B  N  C  M  D  P  Ex 3 B N A C M O D P
Identify corresponding sides and corresponding
angles of the congruent polygons.
Corresponding Angles
Corresponding Sides 
A  P
B  N 
C  M 
D  P 

6.  M  U I  Z  H  E  K  S  F  L 
Ex 4 Identify corresponding sides and corresponding angles of the congruent polygons.
MIHKL 
UZESF
Corresponding Angles
Corresponding Sides 
M  U
I  Z 
H  E 
K  S 
F  L 

7. ∆ABD  ∆CDB  A  C  BDA  DBC ABD  CDB 
Identify corresponding sides and corresponding
angles of the congruent polygons. A B C D
∆ABD  ∆CDB
Corresponding Angles
Corresponding Sides 
A  C 
BDA 
DBC
ABD 
CDB 

8. Are the triangles congruent? If so, write a congruence statement.
1. Are corresponding angles congruent?
Yes
2. Are corresponding sides congruent?
Yes
Yes, they are congruent.
∆PMN 
∆SRT

9. Are the quadrilaterals congruent? If so, write a congruence statement.
1. Are corresponding angles congruent?
Yes
2. Are corresponding sides congruent?
Yes
Yes, they are congruent.
CFED 
LMJK

10. Are the triangles congruent? If so, write a congruence statement.
1. Are corresponding angles congruent?
Yes
2. Are corresponding sides congruent? No
No, they are not congruent.

11. Length of a Line Segment
“Segment AB”
“Length of Segment AB”

12. Segments are congruent when they have the same length.D
3 in G H
3 in
Segment Lengths are equal
(same size)
CD = GH
Segments are congruent
(same size and shape)
When writing out lengths, use the = sign.
CD = 3 in

13. Are the following figures congruent?
1. Are they the same shape?
Yes (segments)
2. Are they the same size?
No (10 in  15 in)
Not Congruent

14. Are the following figures congruent?
3 m
3 m
1. Are they the same shape?
Yes (segments)
2. Are they the same size?
Yes (both 3m)
Congruent

15. A B C
the angle’s name
the angle’s measure

16. Angles are congruent when they have equal measures (same # of degrees).X A
50°
50° Z C Y B
Angle Measures equal
(same size/degrees)
Angles are Congruent
(size and shape same)
When writing angle measures, use the = sign.

17. Are the following figures congruent?
Ex 1
Are the following figures congruent?
130
130
1. Are they the same shape?
Yes (angles)
2. Are they the same size?
Yes (both 130)
Congruent

18. Ex. 2 Are the following figures congruent?
45
50
1. Are they the same shape?
Yes (angles)
2. Are they the same size?
No (both 50  45)
Not Congruent