Angles Created by Parallel Lines and a Transversal

Line AB is parallel to line CD with transversal EF

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1. Angle AGH and angle DHG are Alternate Interior Angles. Name another pair of Alternate Interior Angles. What observations can you make about the angle pairs?

2. The lines may be moved by selecting point A, B, or C and moving it around the screen. Move the lines so that the angle measures change. What happens to the pairs of Alternate Interior Angles as you change the position of the lines?

3. Make a conjecture about the relationship between Alternate Interior Angles created by parallel lines and a transversal.

4. Angle AGE and angle FHD are Alternate Exterior Angles. Name a second pair of Alternate Exterior Angles. What observations can you make about the pairs of angles? What happens as you move the parallel lines?

5. Make a conjecture about the relationship between Alternate Exterior Angles created by parallel lines and a transversal.

6. Angle DHG and angle BGH are a pair of Same Side Interior angles. Name a second pair of Same Side Interior Angles. What observations can you make about the angle pairs? What happens as you move the parallel lines?

7. Make a conjecture about Same Side Interior Angles created by parallel lines and a transversal.

Trisha Sluder, Created with GeoGebra