9-8 Transversals to Many Parallel Lines
A) Intercept
a.
If a transversal intersects two lines
2
1
andL
L
in points A and
B, then we say that
2
1
andL
L
intercept the segment
AB
on
the transversal.
i.
B) Theorem 9-29
a.
If three parallel lines intercept congruent segments on one
transversal, then they intercept congruent segments on any
other transversal
i.
Proof:
What do we know about quadrilateral AGED and quadrilateral
GHFE?
So what do we know about AG and DE?
How about GH and EF?
Therefore DE = EF b/c of
C) Theorem 9-30
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a.
If three parallel lines intercept congruent segments on one
transversal, then they intercept congruent segments on any
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- Spring '09
- Johnson
- Algebra, Congruence, Pythagorean Theorem, Transversal line, Congruent Segments
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