Objectives:
Lesson Notes:
Lesson 1 is all about angle relationships and types of lines. There are many types of lines and they form special angles. Parallel lines are lines that never meet, perpendicular lines are lines that form a right angle, skew lines are lines that are in separate planes. A transversal is a line that intersects two lines at two different points. A transversal creates special angle relationships. Corresponding angles lie on the same side of the transversal and on the same side of the other two lines. Alternate angles are angles that are on the opposite sides of each other. Same side interior angles are angles that are on the same side of the transversal and between the two other lines. These angles relationships are special when the transversal goes across parallel lines. The corresponding and alternate exterior/interior angles become equal to one another. The same side interior angles add up to 180 degrees. There are theorems named after these relationships.
- Identify parallel, perpendicular, and skew lines.
- Identify the angles formed by two lines and a transversal.
- Prove and use theorems about the angles formed by parallel lines and a transversal.
Lesson Notes:
Lesson 1 is all about angle relationships and types of lines. There are many types of lines and they form special angles. Parallel lines are lines that never meet, perpendicular lines are lines that form a right angle, skew lines are lines that are in separate planes. A transversal is a line that intersects two lines at two different points. A transversal creates special angle relationships. Corresponding angles lie on the same side of the transversal and on the same side of the other two lines. Alternate angles are angles that are on the opposite sides of each other. Same side interior angles are angles that are on the same side of the transversal and between the two other lines. These angles relationships are special when the transversal goes across parallel lines. The corresponding and alternate exterior/interior angles become equal to one another. The same side interior angles add up to 180 degrees. There are theorems named after these relationships.