1) The document discusses parallel and perpendicular lines as well as angles formed when lines are cut by a transversal. 2) Parallel lines never intersect and perpendicular lines intersect at right angles. A transversal is a line that intersects two or more other lines. 3) When parallel lines are cut by a transversal, 8 angles are formed. Pairs of these angles are either congruent or supplementary. Special pairs of angles, like vertical angles and corresponding angles, will be congruent.

1. Parallel Lines & Transversals By Victoria Miles

2. Activator Problem Solution: m<1 = 60 o . (given) m<3 = m<5 =m<7 =60 o m<2, m<4, m<6, m<8 = 120 o .

3. Perpendicular and Parallel Lines BrainPop MOVIE click here Mr. Vaugh’s flash movie click here

4. Congruent Angles

5. More Definitions Perpendicular lines are lines that intersect at right angles. Parallel lines are lines that never intersect. A transversal is a line that intersects two or more lines.

6. Special Types of Angles Click here to interact:

7. Vertical Angles

8. Corresponding Angles

9. Alternate Interior Angles

10. Summary Parallel lines are lines that never meet. Perpendicular lines meet at right angles. A transversal is a line that intersects 2 or more (parallel) lines. Parallel lines cut by a transversal form 8 angles . Pairs of angles will be either congruent or supplementary . Special pairs of angles will be congruent . Vertical angles Corresponding angles Alternate Interior Angles Interactive math dictionary

11. Your turn! Find the measure of the other angles. 105 o

12. Try this one! Solve for a, b, c, d, x, y and z x 65 o y + 20 z a - 10 b 5 c d ÷ 2

13. More special angles… http://www.shodor.org/interactivate/activities Sources http://www.mathsisfun.com http://www.algebra.com http://www.teachers.ash.org.au/jeather/maths/dictionary.htm l