3.2 Angle Pairs - Part 2 Investigation

You should notice that when you move pts A, B and C, the figure behaves in a particular way. Pay attention to lines AD and FH. Can you move points A, B or C in such a way as to make lines AD and FH cross each other? (Ignore the instances where all three lines collapse directly on top of each other)

Lines which behave in the way that lines AD and FH do can be described using one of the vocabulary terms we discussed in class. Which of the following terms describes lines in the same plane that never cross?

What special type of angles are the angles in green?

As you move point A, B or C around, watch the measures of the angles in green. Which of the following statements is always true no matter how you move any of those points?

Now look at the angles in red. What special type of angles are they?

As you move points A, B and C around, watch the measures of the angles in red. Which of the following statements is always true no matter how you move any of those points?

You looked at two sets of angles above. The green set and the red set. You should notice there are two other sets of the same type of angles in the figure. As you move points A, B and C around, can the same statements be made about the set of purple angles that were made about the red and the green angles?

As you move points A, B and C around, can the same statements be made about the set of pink angles that were made about the red, green and purple angles?

Take all the observations you made above and summarize them by completing the following sentence: Corresponding angles formed by parallel lines are always _?_