corresponding angles
Corresponding angles are a pair of angles formed when a transversal intersects two parallel lines
Corresponding angles are a pair of angles formed when a transversal intersects two parallel lines. When two lines are parallel, any transversal that crosses them forms pairs of corresponding angles. These angles are located on the same side of the transversal and in corresponding positions.
Corresponding angles have the same relative position in relation to the lines and transversal. In other words, corresponding angles are equivalent in size if the lines being intersected are parallel.
For example, consider two parallel lines, line l and line m, intersected by a transversal line t. If angle A is formed by line l and line t on one side of the transversal, and angle B is formed by line m and line t on the same side, then angle A and angle B are corresponding angles. Similarly, if angle C is formed by line l and line t on the other side of the transversal, and angle D is formed by line m and line t on the same side, then angle C and angle D are corresponding angles as well.
The important property of corresponding angles is that they are congruent or equal when the lines are parallel. This property allows us to use corresponding angles to solve problems and prove theorems involving parallel lines and transversals.
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