📚 Topic Summary
The Alternate Exterior Angles Theorem states that if two parallel lines are intersected by a transversal, then the alternate exterior angles are congruent (equal). Alternate exterior angles lie on the outside of the two parallel lines and on opposite sides of the transversal. Understanding this theorem is crucial for solving various geometry problems involving parallel lines and angles.
This worksheet will test your knowledge of alternate exterior angles and their properties. By completing the exercises, you'll reinforce your understanding of this key geometric concept. You'll also learn how to apply the theorem to solve problems and prove geometric relationships.
🧠 Part A: Vocabulary
Match the term with its definition:
| Term |
Definition |
| 1. Transversal |
A. Angles that lie on the outside of two lines and on opposite sides of a transversal. |
| 2. Parallel Lines |
B. Lines that never intersect. |
| 3. Congruent Angles |
C. A line that intersects two or more lines. |
| 4. Alternate Exterior Angles |
D. Angles that have the same measure. |
| 5. Angle |
E. The space between two intersecting lines or surfaces at or close to the point where they meet. |
✏️ Part B: Fill in the Blanks
Complete the following paragraph with the correct terms:
When a ________ intersects two parallel lines, the ________ exterior angles are ________. This means they have the same ________. The Alternate Exterior Angles ________ is a fundamental concept in geometry.
🤔 Part C: Critical Thinking
Explain, in your own words, how the Alternate Exterior Angles Theorem can be used to prove that two lines are parallel.