Roper, B Applet
Parallel Lines and Transversals
1. Click the boxes to show angles a and e. These angles are an example of corresponding angles. Why do you think they are called that?
2. What do you notice about the measures of angles a and e? Drag points P and Q to the right and left. Is this relationship always true?
3. Identify a different set of corresponding angles. Use them to determine if your conjecture from the previous questions is true for other corresponding angles by dragging points P and Q.
4. Now click the boxes so only angles c and f are showing. They are an example of alternate interior angles. Why do you think they are called that?
5. What do you notice about the measures of angles c and f? Drag points P and Q to the right and left. Is this relationship always true?
6. Identify a different set of alternate interior angles. Use them to determine if your conjecture from the previous questions is true for other alternate interior angles by dragging points P and Q.
7. Now click the boxes so only angles c and e are showing. They are an example of consecutive interior angles. Why do you think they are called that?
8. What do you notice about the measures of angles c and e? Drag points P and Q to the right and left. Is this relationship always true?
9. Identify a different set of consecutive interior angles. Use them to determine if your conjecture from the previous questions is true for other consecutive interior angles by dragging points P and Q.
10. Now click the boxes so only angles a and h are showing. They are an example of alternate exterior angles. Why do you think they are called that?
11. What do you notice about the measures of angles a and h? Drag points P and Q to the right and left. Is this relationship always true?
12. Identify a different set of alternate exterior angles. Use them to determine if your conjecture from the previous questions is true for other alternate exterior angles by dragging points P and Q.
13. The relationship between corresponding angles is called a postulate. How is a postulate different from a theorem?
14. How can you use the corresponding angles postulate, as well as the other angle relationships you know, to justify your conjectures about alternate interior, consecutive interior, and alternate exterior angles?
1. Click the boxes to show angles a and e. These angles are an example of corresponding angles. Why do you think they are called that?
2. What do you notice about the measures of angles a and e? Drag points P and Q to the right and left. Is this relationship always true?
3. Identify a different set of corresponding angles. Use them to determine if your conjecture from the previous questions is true for other corresponding angles by dragging points P and Q.
4. Now click the boxes so only angles c and f are showing. They are an example of alternate interior angles. Why do you think they are called that?
5. What do you notice about the measures of angles c and f? Drag points P and Q to the right and left. Is this relationship always true?
6. Identify a different set of alternate interior angles. Use them to determine if your conjecture from the previous questions is true for other alternate interior angles by dragging points P and Q.
7. Now click the boxes so only angles c and e are showing. They are an example of consecutive interior angles. Why do you think they are called that?
8. What do you notice about the measures of angles c and e? Drag points P and Q to the right and left. Is this relationship always true?
9. Identify a different set of consecutive interior angles. Use them to determine if your conjecture from the previous questions is true for other consecutive interior angles by dragging points P and Q.
10. Now click the boxes so only angles a and h are showing. They are an example of alternate exterior angles. Why do you think they are called that?
11. What do you notice about the measures of angles a and h? Drag points P and Q to the right and left. Is this relationship always true?
12. Identify a different set of alternate exterior angles. Use them to determine if your conjecture from the previous questions is true for other alternate exterior angles by dragging points P and Q.
13. The relationship between corresponding angles is called a postulate. How is a postulate different from a theorem?
14. How can you use the corresponding angles postulate, as well as the other angle relationships you know, to justify your conjectures about alternate interior, consecutive interior, and alternate exterior angles?