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Ch. 8.6 Triangle Intercept Theorem
Contributed by: Smith
 mean ?
 segments  DE and BC are congruent
 segments DE and BC are parallel
what do the black arrows
►
►
►
►
If a segment (DE) is parallel to one side of a ∆ (BC)

►
►
If a segment (DE) is parallel to one side of a ∆ (BC)
Then it divides the other two sides (AC and AB)
proportionally (one fraction equals another).
►
►
If a segment (DE) is parallel to one side of a ∆ (BC)
Then it divides the other two sides (AC and AB)
proportionally (one fraction equals another).
AD
DC
=
AE
EB
►
►
If CB is parallel to DE, then
DC
AD
−
10
=
AE
EB
5
−
►
►
4
10
5
8
=
4
8
If CB is parallel to DE, then
DC
AD
−
8
=
AE
EB
6
−
►
►
3
6
8
4
=
If CB is parallel to DE, then
DC
AD
−
9
=
AE
EB
6
−
►
►
4
6
9
6
=
If CB is parallel to DE, then
DC
AD
−
15
=
AE
EB
10
−
►
►
8
10
15
12
=
If CB is parallel to DE, then
DC
AD
−
12
=
AE
EB
6
−
►
►
5
6
12
10
=
If CB is parallel to DE, then
DC
AD
−
6
=
AE
EB
4
−
►
►
6
4
3
=
Cross
Multiply
to find
the missing
side.
3
If CB is parallel to DE, then
DC
AD
−
8
=
AE
EB
4
−
►
►
8
4
6
=
Cross
Multiply
to find
the missing
side.
6
If CB is parallel to DE, then
DC
AD
−
10
=
AE
EB
4
−
►
►
10
4
5
=
Cross
Multiply
to find
the missing
side.
5
If CB is parallel to DE, then
DC
AD
−
10
=
AE
EB
8
−
►
►
10
8
7
=
Cross
Multiply
to find
the missing
side.
7
If CB is parallel to DE, then
DC
AD
−
10
=
AE
EB
6
−
►
►
10
6
7
=
Cross
Multiply
to find
the missing
side.
7
The End
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The End
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