Overlapping Triangles Section 7-4

A
B
C
4-7:Overlapping Triangles
F
D
E
How many triangles do you see in the figure
above?
4
Name the triangles in the figure above?
ADC , BFD, ABE & CFE
A
Overlapping Figures
B
Given: AC  AB, AD  AE
 Figures that have some part of their interior in common .
C
F
Prove: D  E
A
D
B
E
A
A
C
C
F
D
E
B
D
E
A
B
Given: AC  AB, AD  AE
1). AC  AB, AD  AE
C
D
Justification
1). Given
E
Given: Regular Pentagon EFGHI
F
Prove: D  E
Statement
F
G
Prove: EH  GI
E
Statement
1). Regular Pentagon EFGHI
Justification I
H
1). Given
1
Homework: p. 268 #8-13, 15-18
2