Parallel Lines Conjectures

Explanation:

A line passing through two or more other lines in a plane is called a transversal. A transversal intersecting two parallel lines creates three different types of angle pairs. They are:

corresponding angles
alternate interior angles
alternate exterior angles

The precise statement of the conjecture is:

Conjecture (Corresponding Angles Conjecture ): If two parallel lines are cut by a transversal, the corresponding angles are congruent.

Conjecture (Alternate Interior Angles Conjecture ): If two parallel lines are cut by a transversal, the alternate interior angles are congruent.

Conjecture (Alternate Exterior Angles Conjecture ): If two parallel lines are cut by a transversal, the corresponding angles are congruent.

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Linked Activity:

Please feel free to try the activity sheet associated with this conjecture.

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