G.1.20.3 An Alternate Explanation
- Author:
- Katie Akesson
Here are intersecting lines AE and CD:
Rotate line AE and points A, B, and E by 180 degrees around point C. Label the images of A, B, C, D, E as A', B', C', D', E'. What is true about lines AE and A'E'? Explain your reasoning.
What is true about angle CBE and angle CB'E', explain how you know.
Angles CBE and CB'E' have a special name -- they are called Alternate Interior Angles. Name another pair of Alternate Interior Angles.
What is true about angle ABC and angle CB'E', explain how you know.
Angles ABC and CB'E'' have a special name -- they are called Consecutive (Same Side) Interior Angles. Name another pair of Consecutive Interior Angles.
What is true about angle DBE and angle D'B'E', explain how you know.
Angles DBE and D'B'E' have a special name -- they are called Alternate Exterior Angles. Name another pair of Alternate Exterior Angles.