Unit 2 Topic 1 : Parallel Lines and Transversal Exploration
- Your goal is to explore the angle relationships associated with two parallel lines and a transversal.
- Through this activity, you will learn about the naming of angle pairs formed by two lines and a transversal
- Moveable points: All blue points. You can click on the blue points and move them around in order to see which relationships change and which remain true.
- You can click the Parallel Lines checkbox to force parallel lines.
Vertical Angles of Parallel Lines
Check the box for forcing parallel lines and check the box for vertical angles. Drag one of the points on the parallel lines to change the slope of the two parallel lines. Describe the pairs of vertical angles for both sets of lines. If parallel lines are intersected by a transversal, then ______ pairs of vertical angles will be _____________.
Corresponding Angles of Two Parallel Lines
Check the box for forcing parallel lines and check the box for Corresponding angles and write a conditional statement that will describe corresponding angles when given a transversal of two parallel lines. If _____________ lines are intersected by a transversal, then corresponding angles will be __________________.
Alternate Interior Angles of Two Parallel Lines
Check the box for Alternate Interior angles and parallel lines and write a conditional statement that will describe alternate interior angles when given a transversal of two parallel lines. If parallel lines are intersected by a transversal, then alternate interior angles will be _____________.
Alternate Exterior Angles of Two Parallel Lines
Check the box for Alternate Interior angles and parallel lines and write a conditional statement that will describe alternate exterior angles when given a transversal of two parallel lines. If parallel lines are intersected by a transversal, then alternate exterior angles will be _____________.
Interior Same Side Angles of Two Parallel Lines
Check the box for forcing parallel lines and check the box for interior same side angles and write a conditional statement that will describe same side interior angles when given a transversal of two parallel lines. If parallel lines are intersected by a transversal, thensame side interior angles will _________________.
Same Side Exterior Angles of Two Parallel Lines
Check the box for forcing parallel lines and then click the box for alternate exterior angles. Same side exterior angles are angles that are on the exterior of the lines but on the same side of the transversal. While you won't be able to rely on the color coding, what relationship do you notice happening between the angles that are on the same side of the transversal versus the opposite? If parallel lines are intersected by a transversal, then same side exterior angles will be _________________.
Which relationship(s) about angle pairs stay true regardless of if the lines are parallel? Select all that apply.