Corresponding Angles
Angles that lie on the same side of the traversal and in corresponding positions. (3.1)
Corresponding angles are pairs of angles that have the same relative position at the intersection of two parallel lines and a transversal. When two parallel lines are intersected by a transversal, eight angles are formed at the intersection. Corresponding angles are a pair of angles that have the same position relative to the transversal on opposite sides of the two parallel lines.
For example, if two parallel lines are intersected by a transversal, and one angle is formed between the first parallel line and the transversal, and the other angle is formed between the second parallel line and the transversal, then these two angles are corresponding angles.
Corresponding angles are always congruent, which means that they have the same measure or angle value. If one of the corresponding angles is 40 degrees, then the other corresponding angle on the other side of the transversal and parallel lines will also be 40 degrees.
Corresponding angles have several applications in geometry, particularly in calculations related to geometric shapes and their properties. They are also used in proofs that involve parallel lines and transversals.
More Answers:
Same Side Exterior Angles And Their Supplementary Properties In Parallel Lines Intersected By A TransversalMastering Angles & Geometry: Parallel Lines And Transversals
Mastering Same Side Interior Angles: How To Use Them In Mathematical Problems