If two parallel lines are cut by a transversal, the alternate exterior angles are congruent. When the lines are parallel: Alternate Exterior Angles (measures are equal) If two lines are cut by a transversal and the alternate interior angles are congruent, the lines are parallel. If two parallel lines are cut by a transversal, the alternate interior angles are congruent. Hint: If you draw a Z on the diagram, the alternate interior angles are found in the corners of the Z. The name clearly describes “where” these angles are located. When the lines are parallel: Alternate Interior Angles (measures are equal) Let’s examine these angles, and other angles, when the lines are parallel. These names are used both when lines are parallel and when lines are not parallel. The names “alternate interior angles”, “alternate exterior angles”, “corresponding angles”, and “interior angles on the same side of the transversal” are used to describe specific angles formed when lines intersect. The word ALTERNATE means “ alternating sides” of the transversal. The word EXTERIOR means OUTSIDE the lines. The word INTERIOR means BETWEEN the lines. These names describe angles whether the lines involved are parallel or not parallel. Certain angles are given “names” that describe “where” the angles are located in relation to the lines. When lines intersect, angles are formed in several locations. A transversal is a line that intersects two or more lines (in the same plane).
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