# 3-2 and 3-3 Theorems

## 10 terms

### Corresponding Angle Postulate (3-1)

If two parallel lines are cut by a transversal, then their corresponding angles are congruent.

### Alternate Interior Angle Theorem (3-1)

If two parallel lines are cut by a transversal, then their alternate interior angles are congruent.

### Alternate Exterior Angle Theorem (3-1)

If two parallel lines are cut by a transversal, then their alternate exterior angles are congruent.

### Same-side Interior Angle Theorem (3-1)

If two parallel lines are cut by a transversal, then their same-side interior angles will be supplementary.

### Same-side Exterior Angle Theorem (3-1)

If two parallel lines are cut by a transversal, then their same-side exterior angles will be supplementary.

### Converse of corr. angles post. (3-2)

If two lines are cut by a transversal and their corresponding angles are congruent, then the transversed lines are parallel.

### Converse of alt. int. angle theorem. (3-2)

If two lines are cut by a transversal and their alt. int. angles are congruent, then the transversed lines are parallel.

### Converse of the alt. ext. angle theorem: (3-2)

If two lines are cut by a transversal and their alt. ext. angles are congruent, then the transversed lines are parallel.

### Converse of the same-side int. angles theorem

If two lines are cut by a transversal and their same-side int. angles are supplementary, then the transversed lines are parallel.

### Converse of the same-side ext. angles theorem

If two lines are cut by a transversal and their same-side ext. angles are supplementary, then the transversed lines are parallel.