Geometry

Question Analysis

This question involves identifying the relationships of different angle pairs. The main focus is on understanding the properties of parallel lines cut by a transversal.

Key Concept Explanation:

When two parallel lines are cut by a transversal, several angle relationships hold true:

Alternate interior angles are congruent.

Same-side interior angles are supplementary (add up to 180°).

Linear pair angles are always supplementary.

Option Analysis

The incorrect statement is Option B, a fundamental property of parallel lines and transversals is that alternate interior angles are congruent.

The other options are incorrect:

Option A: same side interior angles for parallel lines cut by a transversal are supplementary, not congruent. So it is incorrect.