if 2 parallel lines are cut by transversals, then corresponding angles are congruent
the alternate exterior angles within the shape are congruent
When two parallel lines are intersected by a transversal line, the corresponding angles on either side of the transversal are congruent. This is known as the Corresponding Angles Postulate.
Formally, the postulate states that: If two parallel lines are cut by a transversal, then the corresponding angles are congruent.
This means that if two angles are corresponding, meaning they are in the same position relative to the transversal, and they are formed by the intersection of the same two lines, then they are congruent.
For example, if line AB || line CD, and transversal EF intersects both lines, then angle AEF is corresponding to angle CEF, and angle BEF is corresponding to angle DEF. Therefore, angle AEF is congruent to angle CEF and angle BEF is congruent to angle DEF.
This postulate is useful in a variety of geometry problems, particularly those dealing with angles and parallel lines.
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