Answer :

Final answer:

The '3.2 parallel lines and transversals' worksheet likely contains problems related to geometry, specifically focusing on the angles formed by parallel lines intersected by a transversal and their properties, including THEOREM 19.

Explanation:

The worksheet '3.2 parallel lines and transversals' is likely part of a mathematics course covering the properties of parallel lines and the angles formed when they are intersected by a transversal. This typically includes concepts such as alternate interior angles, corresponding angles, and vertical angles. These concepts are essential in understanding geometric relationships and are prominently featured in high school geometry curricula. The content of this worksheet probably includes problems where students are asked to find unknown angle measures or prove lines parallel given particular angle relationships.

THEOREM 19 is key to understanding these concepts: If two parallel lines are cut by a transversal, the alternate-interior angles and also the exterior-interior angles are congruent, and the converse is also true. This theorem is fundamental in the study of geometry and would be a central focus of a worksheet on parallel lines and transversals. While the worksheet in question is not specified exactly, we can infer from the context provided that students will be applying such theorems and postulates to solve geometric problems.

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