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Answer :
Final answer:
The false statement is (d) A transversal cuts two parallel lines in three points.
Explanation:
When a transversal cuts two parallel lines, each pair of corresponding angles are equal, which is true. When a transversal cuts two parallel lines, each pair of alternate interior angles are equal, which is also true.
When a transversal cuts two parallel lines, each pair of interior angles on the same side of the transversal are supplementary, which is true. However, a transversal can cut two parallel lines in two points or in infinitely many points, not just in three points.
The false statement is (d) A transversal cuts two parallel lines in three points.
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