1. Homework Answers

2. Homework Answers

3. Parallel and Perpendicular lines

4. Select two parallel lines that are at least six spaces from each other and in the center of your paper.
Retrace them in pen to make them darker.

5. Draw another line (not perpendicular) that goes through both of your parallel lines.
This line is called a transversal.

6. Number the angles as shown1 2 3 4 5 6 7 8

7. Use your protractor to measure the angles formed by the transversal and the parallel lines. Color congruent angles the same color.

8. Fill in the blanks. What do you notice?
1 ______ 4 ______ 5 ______ 8 ______
2 ______ 3 ______ 6 ______ 7 ______
What do you notice?
1 4 5 8
2 3 6 7

9. Properties of Transversals to Parallel Lines
If two parallel lines are intersected by a transversal
The acute angles that are formed are all congruent
The obtuse angles are all congruent
Any acute angle is supplementary to any obtuse angle

10. If the transversal is perpendicular to the parallel lines, all angles formed are congruent to 90o.

11. Relationships
Alternate interior angles

12. Relationships
Alternate exterior angles

13. Relationships
Corresponding angles

14. Open your books to page 230.