3.5 Overlapping Triangles
Mastery Objective
You will be able to:
• Use overlapping triangles in proofs.
Language Objective
• Write proofs for overlapping triangles.
Mastery Objective
You will be able to:
• Use overlapping triangles in proofs.
Language Objective
• Write proofs for overlapping triangles.
A
Example
~
Given: AC = AB
~
AE = AD
~
Prove: CE = BD
C
Statements
Reasons
1.
Mastery Objective
You will be able to:
• Use overlapping triangles in proofs.
Language Objective
• Write proofs for overlapping triangles.
D
1.given
E
B
Example
~
Given: FH = MJ
G is the midpt. of FH
K is the midpt. of MJ
~
GHJ = KJH
~
Prove: GJ = HK
Statements
1.
~
2. GH = KJ
~
3. HJ = HJ
~
4. GHJ = KJH
~
5. GJ = HK
Reasons
1. given
Mastery Objective
You will be able to:
• Use overlapping triangles in proofs.
Language Objective
• Write proofs for overlapping triangles.
M
K
F
G
H
J
Homework
3.5 p.139 #1 ­ 4, 6­9, 11, 12