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Chapter 5
Quadrilaterals

5-3 Theorems Involving Parallel Lines
Theorem 5-8
If two lines are parallel, then all points on
one line are equidistant from the other
line.
A

C

B

D
Theorem 5-9
If three parallel lines cut off congruent segments
on one transversal, then they cut off congruent
segments on every transversal.
R
A
S
B
T
C
Theorem 5-10
A line that contains the midpoint of one side of
a triangle and is parallel to another side
passes through the midpoint of the third
side.
Theorem 5-11 Midsegment Theorem
The segment that joins the midpoints of two
sides of a triangle
(1) is parallel to the third side;
(2) is half as long as the third side.
A
M
B

N
C
5 3 Theorems Involving Parallel Lines

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5 3 Theorems Involving Parallel Lines

  • 1. Chapter 5 Quadrilaterals 5-3 Theorems Involving Parallel Lines
  • 2. Theorem 5-8 If two lines are parallel, then all points on one line are equidistant from the other line. A C B D
  • 3. Theorem 5-9 If three parallel lines cut off congruent segments on one transversal, then they cut off congruent segments on every transversal.
  • 5. Theorem 5-10 A line that contains the midpoint of one side of a triangle and is parallel to another side passes through the midpoint of the third side.
  • 6. Theorem 5-11 Midsegment Theorem The segment that joins the midpoints of two sides of a triangle (1) is parallel to the third side; (2) is half as long as the third side. A M B N C