Alternate exterior
Alternate exterior angles are a type of angle formed when two parallel lines are intersected by a transversal
Alternate exterior angles are a type of angle formed when two parallel lines are intersected by a transversal. A transversal is a line that intersects two or more other lines at different points.
When a transversal intersects two parallel lines, alternate exterior angles are formed on opposite sides of the transversal and outside the parallel lines. These angles are called “alternate” because they are located on different sides of the transversal, and “exterior” because they are located outside the parallel lines.
The key property of alternate exterior angles is that they are congruent (equal) if the lines intersected by the transversal are parallel. In other words, if we have two parallel lines intersected by a transversal, then the alternate exterior angles formed will have the same measure.
To better understand this concept, let’s consider an example. Suppose we have two parallel lines, line AB and line CD, intersected by a transversal line EF. If we label the alternate exterior angles as angle 1 and angle 2, we can see that they are congruent:
E 1 F
|——————–|
|* * |
| * * |
| * * |
| * * |
| * * |
| * * |
| * * |
|——-*———|
| * |
| * * |
| * * |
| * * |
| * * |
|———*——-|
| 2 |
In this example, angle 1 and angle 2 are alternate exterior angles, as they are on opposite sides of the transversal EF and outside the parallel lines AB and CD.
If the lines AB and CD were not parallel, then the alternate exterior angles would not be congruent. This is an important distinction, as the property of congruence only holds true when the lines intersected by the transversal are parallel.
In summary, alternate exterior angles are a pair of congruent angles formed when two parallel lines are intersected by a transversal, and they are located on opposite sides of the transversal and outside the parallel lines.
More Answers:
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