Corresponding Angles
In geometry, pairs of angles can relate to each other in several ways. In this lesson we will explain corresponding angles.
Corresponding AnglesA transversal is a straight line that crosses two or more straight lines. Here we focus on transversals that cross two or more parallel lines.
When a line (called a transversal) intersects a pair of parallel lines corresponding angles are formed. Corresponding angles are equal to each other. One way to find the corresponding angles is to draw a letter F on the diagram. The letter F can also be facing the other way. In the above diagram, d and h are corresponding angles. There many other corresponding pairs of angles in the above diagram: b and f ; c and g ; a and e.
(Corresponding angles found in a F-shaped figure)
Example: In the following diagram, all the lines shown are straight lines. Line m is parallel to line n. List a pair of corresponding angle.
Solution: d and h are corresponding angles.
The following video explains more about correponding angles:
How to define corresponding angles and their properties How to Find an Angle Using Corresponding Angles Proof by contradiction that corresponding angle equivalence implies parallel lines
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