Geometry

Question Analysis

This question involves determining which figure demonstrates that the given angles are congruent under the condition that AB ∥ CD. The focus is on identifying the relationship between given angles formed by parallel lines and a transversal.

 

Key Concept Explanation:

When two parallel lines are cut by a transversal:

Same-side interior angles on the same side of the transversal and inside the two lines. The key property is that same-side interior angles are supplementary.

 

Alternate interior angles are on opposite sides of the transversal and inside the two lines. The key property is that alternate interior angles are congruent.

 

Option Analysis:

The correct figure is Option B:

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