transversal
a line that intersects more than one line
A transversal is a line that intersects two or more lines in a plane at different points. When a transversal line intersects two or more parallel lines, it creates several pairs of angles. The pairs of angles that are formed in this way are known as corresponding angles, alternate interior angles, alternate exterior angles, and consecutive interior angles.
– Corresponding Angles: Corresponding angles are equal in measure when two parallel lines are intersected by a transversal. Corresponding angles are found in matching corners, on opposite sides of the transversal.
– Alternate Interior Angles: Alternate interior angles are those angles that are located between two parallel lines and on opposite sides of a transversal. These pairs of angles are equal in measure.
– Alternate Exterior Angles: The pairs of angles that are located outside two parallel lines and on opposite sides of a transversal are called alternate exterior angles. These angles are congruent when the parallel lines are cut by a transversal.
– Consecutive Interior Angles: Consecutive interior angles are two angles that lie on the same side of the transversal and on the inside of the two parallel lines. The consecutive interior angles are supplementary angles that add up to 180 degrees.
More Answers:
Discovering the Properties and Applications of Parallel Lines in Geometry, Engineering, and ArtUnderstanding the Importance of Corresponding Angles in Geometric Problem Solving
Understanding Vertical Angles: Properties, Examples, and Applications in Geometry and Trigonometry