In this exploration, we will construct a parallelogram from 3 points (A, B, and C) and parallel lines through those 3 points. Note that these points can be moved freely. Follow along with the activity guide handout, answering the questions for each step before moving on to the next.
Explore by moving points A, B, and C. Notice the changes to the parallelogram. What do you observe about all parallelograms?