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Parallel and Perpendicular Lines

Proofs

 Tutorial Name Tutorial Description

Tutorials

 Tutorial Name Tutorial Description Partition Directed Segment Describes how to partition a directed line segment on a coordinate plane.  This is contrasted with partitioning a segment on a number line as demonstrated in the Basics of Geometry section. Parallel and Perpendicular Lines (Part 1) Parallel Lines defined, Skew Lines defined, Parallel Postulate, Perpendicular Postulate, Never Trust the Picture, Transversal definition. Parallel and Perpendicular Lines (Part 2) Corresponding, Alternate Interior, Alternate Exterior, Consecutive Interior angles, Corresponding Angles Postulate, Alternate Interior Angles Theorem, Alternate Exterior Angles Theorem, Consecutive Interior Angles Theorem. Parallel and Perpendicular Lines (Part 3) Proof of Alternate Interior Angles Theorem, Proof of Consecutive Interior Angles Theorem. Parallel and Perpendicular Lines (Part 4) Using parallel lines and transversals, Proving lines parallel, Corresponding Angles Converse Postulate, Alternate Interior Angles Converse Theorem and proof, Alternate Exterior Angles Converse Theorem, Consecutive Interior Angles Converse Theorem. Parallel and Perpendicular Lines (Part 5) Proof of Consecutive Interior Angles Converse Theorem, Parallel Line Transitivity, Determining if lines are parallel. Parallel and Perpendicular Lines (Part 6) Perpendicular Linear Pair Theorem and proof, Perpendicular Transversal Theorem, Lines Perpendicular to a Transversal Theorem, Four Right Angles Theorem, Parallel and Perpendicular Lines (Part 7) Proof of Perpendicular Transversal Theorem, Proof of Lines Perpendicular to a Transversal Theorem, Slopes of lines. Parallel and Perpendicular Lines (Part 8) Finding slopes of lines, Slopes of parallel, perpendicular, vertical and horizontal lines. Parallel and Perpendicular Lines (Part 9) Distance between a point and a line, Directed Line Segment, Partitioning a Directed Line Segment. Parallel and Perpendicular Lines (Part 10) Writing equations of parallel and perpendicular lines, find the distance from a point to a line (detailed). Chapter 3 Review (1-7) Works through the chapter 3 review problems 1-7. Chapter 3 Review (8-16) Chapter 3 review problems 8 - 16. Chapter 3 Review (17-23) Chapter 3 review problems 17 - 23. Chapter 3 Review (24-26) Chapter 3 review problems 24 - 26.