Parallel Lines & Related Angles
Table of Contents
- Simple (More Elegant) "Proofs" without Words
- Exploring Corresponding Angles (V2)
- Alternate Interior Angles Theorem (V1)
- Alternate Exterior Angles Theorem (V1)
- Same Side Interior Angles Theorem
- Exploring Same Side Exterior Angles
- Alternate Interior Angles Theorem (V3)
- Alternate Exterior Angles Theorem (V3)
- Earlier Items
- Naming Angle Positions
- Parallel Lines & Related Angles
Exploring Corresponding Angles (V2)
In the applet below, a [b]TRANSVERSAL[/b] intersects [b]2 PARALLEL LINES[/b]. [br][br]When this happens, there are 4 pairs of [b][color=#b20ea8]corresponding angles[/color][/b] that are formed. [br][br]Interact with the applet below for a few minutes, then answer the questions that immediately follow.
[color=#c51414][b]Directions & Questions:[/b] [/color][br][br]1) Complete the following statement: I[b]f a transversal intersects 2 ________________ ______________, then [color=#b20ea8]corresponding angles[/color] are _____________________.[/b] [br][br]2) If the pink angle above measures 52 degrees, what would the measure of its corresponding angle be? What would the measure of the gray angle be? [br][br]3) As you moved the slider, what transformation took place? [br]
Naming Angle Positions
Definition: A transversal is a line that intersects 2 other lines at 2 distinct points. [br][br]In the applet, the dashed line below is a transversal. (Actually, each of the three lines displayed below is a transversal.)[br][br]When a transversal intersects 2 other lines, special names are given to certain pairs of angles. [br]These angle pairs are called [b]corresponding angles, alternate interior angles, alternate exterior angles, same-side interior angles, and same-side exterior angles[/b]. [br][br]Explore these angle pairs within the applet below. Then, answer the questions that follow.
Questions:[br][br]1) What does the term "same-side" mean in the phrases "same-side interior angles" and "same-side exterior angles"? [br]2) What does the term "alternate" mean in the phrases "alternate interior angles" and "alternate exterior angles"? [br]3) Which of the four displayed angles would be considered "interior" angles? Why is this?[br]4) Which of the four displayed angles would be considered "exterior" angles? Why is this?[br]5) How would you describe, in your own words, what it means for a pair of angles to be described as "corresponding angles"?