Geometry / Module 03: Proofs of Theorems Carlos draws a transversal, t, on two parallel lines AB and CD, as shown below:
B
f
C.
D
He makes the following table to prove that the alternate interior angles are equal:
Statement Justification
angle 1 = angle 5 Corresponding angles of parallel lines are congruent.
angle 1 = angle 3 ?
transitive property of equality,
angle 3 = angles angle = angle 5,
angle 1 = angle 3,
therefore angle 3 = angle 5
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