Since you've spent a little time talking about transversals in general, now we get to talk about the cool stuff that happens when a transversal crosses two lines that are parallel to each other. [br][br]In the activity below, you can move the sliders to change the diagram and see how the angle pairs that we talked about earlier behave.[br][br]Note: [br][list][*]The top slider changes the slope of the transversal. (The way it is tilted.)[/*][*]The bottom slider changes the slope of the parallel lines. [/*][*]Check the box next to the angle pair that you would like to see.[/*][*]When the angles are the same color, that means they have the same measure. [/*][/list]
In the diagram, select "Show Corresponding Angles." [br][br]Which is/are true about what happens as you move the sliders?
In the diagram, select "Show Alternate Interior Angles." [br][br]Which is/are true about what happens as you move the sliders?
In the diagram, select "Show Alternate Exterior Angles." [br][br]Which is/are true about what happens as you move the sliders?
In the diagram, select "Show Same-Side Interior Angles." (This is the same as Consecutive Interior Angles.)[br][br]Which is/are true about what happens as you move the sliders?
Move points A, E, or D in the diagram above. [br][br]1. What do you notice about the angle measures?[br]2. What generalization can we make about alternate interior angles when parallel lines are cut by a transversal?
1. The stay the same.[br][br]2. When parallel lines are cut by a transversal, the alternate interior angles are congruent.
Move points A, E, or D in the diagram above. [br][br]1. What do you notice about the angle measures?[br]2. What generalization can we make about alternate exterior angles when parallel lines are cut by a transversal?
1. The stay the same.[br][br]2. When parallel lines are cut by a transversal, the alternate exterior angles are congruent.