Chapter 9, Section 5

1

• Chapter 9, Section 5
• Congruence

2

• To be congruent
• corresponding parts (sides/ angles) have the same
  measure.

3
Congruency Statements
A

1. Corresponds to
2. Corresponds to
3. Corresponds to
4. Corresponds to
5. Corresponds to
6. Corresponds to

B
C
P
T
R
4
3 Important Rules

• There are 3 ways to prove that triangles are
  congruent
• Dont forget CONGRUENT means
• EQUAL!!!

5
Rule 1 SSS
SIDE SIDE SIDE
8
8
8
8
6
6
IF ALL 3 SIDES ARE THE SAME, THE TRIANGLES ARE
CONGRUENT
6
Rule 2 SAS
SIDE ANGLE SIDE
8
8
6
6
IF THE TRIANGLES HAVE A COMMON ANGLE BETWEEN 2
SIDES OF THE SAME LENGTH, THE TRIANGLES ARE
CONGRUENT
7
Rule 3 ASA
ANGLE SIDE ANGLE
8
8
IF THE TRIANGLES HAVE A COMMON SIDE BETWEEN 2
ANGLES OF THE SAME MEASURE, THE TRIANGLES ARE
CONGRUENT
8
Part 1 Corresponding Parts
Given that ,
complete the following.
G
S
A
1. 2. 3.
4. 5. 6. 7.
8.
70
45
M
H
R
9
Part 2 Congruency Statements
D
List the congruent corresponding parts And write
a congruence statement and reason for the
triangles
A
C
E
B
ANGLE SIDE ANGLE THIS SHOWS CONGRUENCE
1.________________ ________________
________________ ________________by________
_
10
J
10.________________ ________________
________________ ________________by____
_____
L
SIDE SIDE SIDE THIS SHOWS CONGRUENCE
K
M
11
Given that
complete the following.
P
E
H
B
K
T
L
W

• 12. 13.
• 14. 15. 16.

12
Explain why the pair of triangles is
congruent. Then, find the missing measures.
17.
P
B
24
42
ANGLE
A
30
x
SIDE
Q
ANGLE
42
y
R
C
These are congruent Triangles because of Angle
Side Angle (ASA)