Determining Angle Measure With Parallel Lines Worksheets With Answer Key - Johnny Wolfe, Jay High School Santa Rosa County Florida - 2001 Page 4
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1310. Perpendicular Transversal Theorem – In a plane, if a line is perpendicular to
one of two parallel lines, then it is perpendicular to the other.
The proof of the Perpendicular Transversal Theorem is given below.
Given
b || c and a ⊥ b
∠ 1 is a 90
o
angle
Definition of Perpendicular Lines
∠ 1 ≅ ∠ 2
Parallel Lines Postulate
m ∠ 2 is 90
o
Transitive Property
Definition of Perpendicular Lines
a ⊥ c
Johnny Wolfe Determining Angle Measure with Parallel Lines
Jay High School
Santa Rosa
County Florida
September 14, 2001
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