# 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.

### Interactive Sketch Pad Demonstration:

- Key Curriculum Press can provide demo versions of Geometer's Sketch Pad

- Linked Sketch Pad Demo of the

### Linked Activity:

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

**Next:** Parallelogram Conjectures

**Previous:** Midsegment Conjectures

**Back:** Conjectures in Geometry Conjecture List or to the Introduction.