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Alternate interior angles are....
Found inside the intersected lines. (interior)
They are also opposite sides of the transversal.
Common Core Standard: G.CO.9 High School Math
Alternate Interior angles created by a Transversal
Scroll over for the answer
Other angles created by the transversal
Corresponding angles ( 1 and 5 ) ( 2 and 7) (4 and 6) (3 and 8) are angles in matching corners, and have equal angle measure.
Consecutive Interior Angles are pairs of angles inside the two lines
Angles ( 2 and 5) and (3 and 6) are consecutive interior angles are their angle measure equals 180 degrees ( supplementary)
Adjacent Angles Angles (1 and 4) ( 2 and 3 ) (5 and 6) and (7 and 8) are adjacent because they share a common side, and as a result they are supplementary. (1 and 2) (5 and 7) (4 and 3) and (6 and 8) are also adjacent angles.
What are angles 3 and 5 in the picture above called ?
What are angles 1 and 8 called ?
What are angles 1 and 5 in the picture above called ?
What are angles 4 and 6 called ?
Your turn
If the lines cut by the transversal are non- parallel, then the alternate interior angles have no angle relationship.
The alternate interior angle theorem states:
If a transversal intersects two parallel lines, then each pair of alternate interior angles are equal.
In order to help remember the difference between interior and exterior angles, I envision a hamburger.
The alternate interior angles are inside the bun and the alternate exterior angles are found outside the bun.
Transversal
Exterior ( outside the bun)
Interior (inside the bun)
Alternate interior angles are created when a transversal intersects two lines.
A transversal is a line that intersects two or more lines. The lines do not have to be parallel.
When a transversal intersects two parallel lines it creates both alternate interior and exterior angles.
Angles created on opposite sides of the transversal and inside the parallel lines are called alternate interior angles. Alternate interior angles have the same degree measure when the two lines cut by the transversal are parallel.
If the lines cut by the transversal are non- parallel, then the alternate interior angles have no angle relationship.
Transversal