CK-12 Geometry-Concepts

3.11. Distance Between Parallel Lines http://www.ck12.org

are explored. Building on the discussion of parallel lines, perpendicular lines, and transversals, the different angles
formed when parallel lines are cut by a transversal are displayed. Corresponding angles, alternate interior angles,
alternate exterior angles and their properties are presented. The algebra topics of equations of lines, slope, and
distance are tied to the geometric concepts of parallel and perpendicular lines.

Chapter Keywords

• Parallel


• Skew Lines


• Parallel Postulate


• Perpendicular Line Postulate


• Transversal


• Corresponding Angles


• Alternate Interior Angles


• Alternate Exterior Angles


• Same Side Interior Angles


• Corresponding Angles Postulate


• Alternate Interior Angles Theorem


• Alternate Exterior Angles Theorem


• Same Side Interior Angles Theorem


• Converse of Corresponding Angles Postulate


• Converse of Alternate Interior Angles Theorem


• Converse of the Alternate Exterior Angles Theorem


• Converse of the Same Side Interior Angles Theorem


• Parallel Lines Property


• Theorem 3-1


• Theorem 3-2


• Distance Formula:d=

√

(x 2 −x 1 )^2 +(y 2 −y 1 )^2

Chapter Review

Find the value of each of the numbered angles below.