# Exploring Parallel Lines with a Transversal

## Directions

Write down all your answers on your own paper.
Answer questions 1 and 2 before changing anything on the graph.
Use the vocabulary from Part 1 to describe the relationships between the angles.
1. List all congruent angles and the name of the relationship between the angles.
2. List all supplementary angles and the name of the relationship between the angles.
Now, adjust points W, X, Y, and Z so that the lines are parallel. (Do not move line m)
3. How do you know the lines are parallel? Give algebraic work to justify your answer.
4. List all angles that are now congruent after making the lines parallel and name the relationship between the angles.
5. List all angles that are now supplementary after making the lines parallel and name the relationship between the angles.

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