Chapter 3.1: When Lines and Planes Are Parallel

2 lines that do not intersect are either parallel or skew.

Parallel lines: Coplanar lines that do not intersect.

Skew lines: Noncoplanar lines. Therefore, they are neither parallel nor intersecting.

For examples, look in page 73 in you textbook.

Segments and rays contained in parallel lines are also called parallel.

Parallel lines do not intersect.

A line and a plane are parallel if they do not intersect.

NEW THEOREM ALERT! NEW THEOREM ALERT! NEW THEOREM ALERT!

If 2 parallel planes are cut by a third planes, then the lines of intersection are parallel.

For proof, look on page 74 in your textbook.

A transversal is a line that intersects 2 or more coplanar lines in different points.

Alternate interior angles are 2 nonadjacent angles on the same side of the transversal.

Corresponding angles are 2 angles in corresponding positions relative to the 2 lines.

For examples, look on page 74 in your textbook.

The next scribe is Alivia Dew.