Directions: For each example, look at the figure. Follow the steps listed below the figure and answer the questions asked.
1) Here, we are given that two lines f and g are parallel and are cut by segment EF. Click on point E and move it to the left and to the right. Observe the measures of angles EGB and FHC. What do you observe and what theorem supports your response?
2) Theoretically, what could you change about the figure above so that angle EGB and angle FHC are NOT congruent? (don't actually do it on the figure above)
3) What is the angle relationship demonstrated by angles EGB and FHC?
4) What are some other angles with measures congruent to EGB and FHC. Explain how you know.
1) We have two lines that are cut by a transversal, but we are not GIVEN that they are parallel. Click on Point E and drag it to the left and to the right to move around the transversal. What do you observe about the measures of angles HGA and GHC?
2) What can you conclude using your finding from 1)? What theorem supports your conclusion?
3) Name the angle relationship demonstrated by angles HGA and GHC.
4) What are some other pairs of angles with the same relationship as angles HGA and GHC? Explain how you know.
5) When two parallel lines are cut by one transversal, how many total angle measures will there be in the entire figure, assuming no other lines or segments are present?
1) Name all corresponding angles, alternate interior angles, alternate exterior angles, and consecutive interior angles.
2) Drag Point E to the left and to the right as you have in the previous examples. What is different about this figure compared to figure 1 and 2? How does it affect the observations you made in the previous examples? Be specific in your explanation.
3) Look at angles BGH and EGA. Why do these angles remain congruent even though the two lines are not parallel? Make a specific distinction between the relationships observed in the first two figures and this figure.
Put the name of your partner here.