4.7 Using Corresponding Parts of Congruent Triangles

1
4.7 Using Corresponding Parts of Congruent
Triangles

• Chapter 4
• Congruent Triangles

2
4.7 Using Corresponding Parts of Congruent
Triangles

• Identifying Common Parts

G
G
H
F
F
G
H
E
D
D
ltG ltH ltD
E
3
Proving Two Segments Congruent

• Given ltZXW ltYWX, ltZWX ltYXW
• Prove ZW YX

Y
Z
W
X
Write a proofSeparate into two triangles
4
Proving Two Segments Congruent

• Given ?ACD ?BDC
• Prove CE DE

B
A
E
C
D
Write a proofSeparate into two triangles
5
Using SAS and then ASA

• Given PS RS, ltPSQ ltRSQ
• Prove ?QPT ?QRT

Q
R
P
T
Write a proofSeparate into two triangles
S
6
Separating Overlapping Triangles

• Given CA CE, BA DE
• Prove BX DX

C
X
B
D
E
A
7
Practice

• Pg 226 1-10
• Pg 227 11-14 Write a two-column proof
• Pg 228 15-18 Write a two-column proof
• Pg 229 27, 28, 32, 33