When a line (called a transversal) crosses two other lines, it creates several angles. Alternate interior angles are pairs of angles on opposite sides of the transversal and inside the two lines. Alternate exterior angles are pairs of angles on opposite sides of the transversal and outside the two lines. If the two lines the transversal crosses are parallel, then alternate interior angles are congruent (equal), and alternate exterior angles are also congruent.
Match the terms with their definitions:
| Term | Definition |
|---|---|
| 1. Transversal | A. Angles on opposite sides of the transversal and outside the two lines. |
| 2. Alternate Interior Angles | B. A line that intersects two or more other lines. |
| 3. Alternate Exterior Angles | C. Angles on the same side of the transversal and in corresponding positions. |
| 4. Corresponding Angles | D. Angles on opposite sides of the transversal and inside the two lines. |
| 5. Congruent Angles | E. Angles that have the same measure. |
Complete the paragraph using the words provided: congruent, transversal, interior, exterior, parallel.
When a __________ intersects two __________ lines, it forms alternate __________ and __________ angles. If the lines are parallel, these angle pairs are __________.
Explain in your own words why knowing that two lines are parallel is important when working with alternate interior and exterior angles. Give an example.
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