Corresponding angles
the angles which occupy the same relative position at each intersection where a straight line crosses two others. If the two lines are parallel, the angles are equal.
Corresponding angles are a type of angle formed when a line intersects two parallel lines. When this occurs, each pair of corresponding angles are located in the same position relative to the transversal and parallel lines. That is, they are in corresponding positions in relation to each other.
For example, if line AB intersects parallel lines CD and EF at point O, then angles AOC and EOF, and angles BOD and COF are corresponding angles. The pair of angles AOC and EOF are located on the same side of the transversal and in corresponding positions relative to the parallel lines CD and EF. Similarly, the pair of angles BOD and COF are located on the same side of the transversal and in corresponding positions relative to the parallel lines CD and EF.
It is important to note that corresponding angles have the same measure, meaning that they are congruent. This is a property that is true for all corresponding angles formed by intersecting parallel lines, and can be used to solve problems and prove geometric theorems related to angles and parallel lines.
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