Geometry Unit 2 Topic 6

Corresponding Angles Postulate

if a transversal intersects two lines then corresponding angles are congruent.

Converse of the corresponding angles postulate

If corresponding angles are congruent, then the transversal intersects two parallel lines.

Alternate Interior Angles Theorem

If a transversal intersects two parallel lines, then the alternate angles are congruent.

Converse of the Alternate Interior angles Theorem

If the alternate interior angles are congruent, then the transversal intersects 2 parallel lines.

Alternate Exterior Angles Theorem

If a transversal intersects 2 parallel lines, then alternate Exterior angles are congruent.

Converse of the Alternate Exterior Angles Theorem

If Alternate exterior angles are congruent, then the transversal intersects two parallel lines.

Same-side interior angles theorem

If a transversal intersects two parallel lines, then the same side interior angles are parallel

Converse of the same side interior angles theorem

if same side interior angles are supplementary, then the transversal intersects two parallel lines.

Same-side exterior angles theorem

If transversal intersects two parallel lines, then the same side exterior angles are supplementary.

Converse of the same-side exterior angles theorem

if the same-side interior angles are supplementary, then the transversal intersects two parallel lines.