Corresponding Angles Postulate
If two parallel lines are intersected by a transveral, then corresponding angles are congruent
The Corresponding Angles Postulate states that when a transversal intersects two parallel lines, the pairs of corresponding angles formed have the same measure or size. This means that if the two lines are parallel to each other, and a transversal intersects them, then each corresponding angle present in the two lines and the transversal are equal to each other in terms of their measurement.
For example, let’s say we have two parallel lines l and m intersected by a transversal t. If angle 1 and angle 5 are corresponding angles, then we can say that the measure of angle 1 is equal to the measure of angle 5. Similarly, if angle 2 and angle 6 are corresponding angles, then we can say that the measure of angle 2 is equal to the measure of angle 6. This postulate is useful in solving problems related to geometry, especially when dealing with parallel lines and transversals.
More Answers:
The Same-Side Interior Angles Theorem For Solving Geometry Problems.Mastering The Alternate Exterior Angles Theorem: A Guide To Solving Geometry Problems With Parallel Lines
The Alternate Interior Angles Theorem: Congruent Angles In Parallel Lines Crossed By A Transversal