What are Corresponding Angles? Definition and Examples


What are corresponding angles? Corresponding angles are formed when a line, called transversal, cuts or intersects two or more lines.

In the figure below, line p shown in green is the transversal or the line that cuts or intersects two lines ( line m and line n ).

Corresponding angles

Here is how to identify corresponding angles

  • They are on the same side of the transversal
  • One is located inside the lines the transversal cuts or intersects.
  • The other is located outside the lines the transversal cuts or intersects.

Angle a and angle b are on the same side of the transversal or line p. Angle b is located inside line m and line n. Angle a is located outside line m and line n. Therefore, angle a and b are corresponding angles.

By the same token, angle c and angle d are on the same side of the transversal or line p. Angle c is is located inside line m and line n. Angle d is located outside line m and line n. Therefore, angle c and d are corresponding angles.

When a transversal intersects two lines, four pairs of corresponding angles will always be formed.

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