# Chapter 3 – Parallel and Perpendicular Lines Section 3.1 – Identify Pairs of Lines and Angles - PowerPoint PPT Presentation

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HW #13 pg. 150 #7-10, 18-23, 34, 35, 37. Chapter 3 – Parallel and Perpendicular Lines Section 3.1 – Identify Pairs of Lines and Angles . Definitions. Parallel Lines Lines that do not intersect Skew Lines Lines that do not intersect and are not coplanar Parallel Planes

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Chapter 3 – Parallel and Perpendicular Lines Section 3.1 – Identify Pairs of Lines and Angles

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#### Presentation Transcript

HW #13 pg. 150

#7-10, 18-23, 34, 35, 37

## Chapter 3 – Parallel and Perpendicular LinesSection 3.1 – Identify Pairs of Lines and Angles

### Definitions

• Parallel Lines

• Lines that do not intersect

• Skew Lines

• Lines that do not intersect and are not coplanar

• Parallel Planes

• Planes that do not intersect

### Postulates

• Parallel Postulate

• If there is a line and a point not on the line, then there is exactly one line through the point parallel to the given line

• Perpendicular Postulate

• If there is a line and a point not on that line, then there is exactly one line through that point that is perpendicular to that line.

### Definitions

• Transversal

• A line that intersects two or more coplanar lines at different points

• Corresponding Angles

• Angles with the same position

• Alternate Interior Angles

• Angles between the two lines and on opposite sides of the transversal

• Alternate Exterior Angles

• Angles outside the two lines and on opposite sides of the transversal

• Consecutive Angles

• Angles in between the two lines and on the same side as the transversal

### Example

• Name the angle pairs