## Postulate 3-1 Corresponding Angles Postulate

### If a transversal intersects two parallel lines,then corresponding angles are congruent

The corresponding angles postulate states that when two parallel lines are intersected by a transversal line, the angles that are on the same side of the transversal and in corresponding positions are congruent (have equal measures).

In other words, if two parallel lines are intersected by a transversal line, then the angles that are in the same position (i.e., angles that are across from each other, like the top-left and top-right angles or the bottom-left and bottom-right angles, etc.) will have equal measures.

This postulate is useful in solving various problems related to parallel lines and transversals, such as finding missing angle measures or proving that two lines are parallel by showing that their corresponding angles are congruent.

##### More Answers:

Master The Alternate Exterior Angles Theorem And Solve Problems With Parallel Lines And TransversalsMastering Geometry: The Same-Side Interior Angles Theorem.

Mastering Geometry: The Alternate Interior Angles Theorem For Solving Unknown Angles