Alternate Exterior Angles
Grade 7 students in Big Ideas Math Advanced 2 (Chapter 3: Angles and Triangles) learn that alternate exterior angles are congruent when a transversal crosses two parallel lines. These angle pairs are located on opposite sides of the transversal and outside the parallel lines, forming a Z or reversed-Z pattern.
Key Concepts
When a transversal intersects two parallel lines, alternate exterior angles are congruent: $\angle 1 = \angle 8$ and $\angle 2 = \angle 7$.
Common Questions
What are alternate exterior angles in 7th grade geometry?
Alternate exterior angles are located on opposite sides of the transversal and outside the two parallel lines. When lines are parallel, alternate exterior angles are congruent (equal).
How do you identify alternate exterior angles?
Look for angle pairs on opposite sides of the transversal that are both outside the parallel lines. They form a Z or reversed-Z shape with the transversal and parallel lines.
How do you use alternate exterior angles to find a missing angle?
If parallel lines are cut by a transversal and one exterior angle is 65 degrees, its alternate exterior angle also equals 65 degrees.
What chapter in Big Ideas Math Advanced 2 covers alternate exterior angles?
Chapter 3: Angles and Triangles in Big Ideas Math Advanced 2 (Grade 7) covers alternate exterior angles.
What is the difference between alternate exterior and alternate interior angles?
Alternate exterior angles are outside the parallel lines; alternate interior angles are between (inside) the parallel lines. Both pairs are congruent when lines are parallel.