1. Lines, Angles and Triangles
Opening routine

2. Topic II: Lines, Angles and Triangles

3. Lines, Angles and Triangles
Angles formed by interception of parallel and transversal lines
Objective: Prove theorems about lines and angles; use theorems about lines and angles to solve problems. Theorems include: vertical angles are congruent; when a transversal crosses parallel lines, alternate interior angles are congruent and corresponding angles are congruent.
Essential Question: How do you use parallel lines
and transversals to determine angle relationships?

4. Lines, Angles and Triangles
Angles formed by interception of parallel and transversal lines
Vocabulary
Parallel lines: Are two lines that lie in the same plane and are always the same distance apart and never touch.
Skew lines: Are two lines that do not intersect and are not parallel, because they are in different planes.
Transversal line: Is a line that passes through two lines in the same plane at two distinct points.
Interior angles: Are the four angles formed inside parallel lines by a third line that intersects them.

5. Lines, Angles and Triangles
Angles formed by interception of parallel and transversal lines
Vocabulary
Exterior angles: Are the four angles formed outside parallel lines by a third line that intersects them.
Consecutive interior angles: When two parallel lines are intercepted by a transversal, the pair of angles inside the parallel lines on the same side of the transversal.
Alternate interior angles: When two parallel lines are intercepted by a transversal, the pair of angles inside the parallel lines on opposite sides of the transversal.

6. Lines, Angles and Triangles
Angles formed by interception of parallel and transversal lines
Vocabulary
Alternate exterior angles: When two parallel lines are intercepted by a transversal, the pair of angles outside the parallel lines on opposite sides of the transversal.
Corresponding angles: When two parallel lines are intercepted by a transversal, the pair of angles that are formed in the same position, in terms of the transversal.

7. Lines, Angles and Triangles
Angles formed by interception of parallel and transversal lines

8. Lines, Angles and Triangles
Angles formed by interception of parallel and transversal lines

9. Lines, Angles and Triangles
Angles formed by interception of parallel and transversal lines

10. Lines, Angles and Triangles
Angles formed by interception of parallel and transversal lines

11. Lines, Angles and Triangles
Angles formed by interception of parallel and transversal line

12. Lines, Angles and Triangles
Angles formed by interception of parallel and transversal lines

13. Lines, Angles and Triangles
Angles formed by interception of parallel and transversal lines

14. Lines, Angles and Triangles
Angles formed by interception of parallel and transversal lines

15. Transformations and Congruence
Angles formed by interception of parallel and transversal lines
YOU DO - Independent Practice
Worksheet
Pages 1 and 2

16. Transformations and Congruence
Angles formed by interception of parallel and transversal lines
Homework
Worksheet
Pages 1 and 2

17. Transformations and Congruence
Angles formed by interception of parallel and transversal lines
Closure
Essential Question: How do you use parallel lines and transversals to determine angle relationships?