Lesson 3.1 Lines and Angles

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Presentation transcript:

Lesson 3.1 Lines and Angles

Parallel Lines Two lines that are coplanar and do not intersect Symbol: II

Skew Lines Lines do not intersect and are not coplanar

Parallel planes Two planes that do not intersect Example 1 Give lines II to XY Give II planes Give lines skew to XY

Parallel Postulate If there is a line and a point not on the line then there is exactly one line through the point II to the given line.

Perpendicular Postulate If there is a line and a point not on the line, then there is exactly one line through the point perpendicular to the line.

Transversal A line that intersects two or more coplanar lines at different points. transversal

Angles formed by transversal Corresponding Angles: occupy corresponding positions. Alternate Exterior Angles: lie outside the 2 lines on opposite sides of the transversal.

Angles formed by transversal Alternate Interior Angles: Lie between the 2 lines on opposite sides of the transversal. Consecutive Interior Angles: (same side) lie between the 2 lines on the same side of the transversal.

Angle Relationships: Name a pair of angles Corresponding Ex. 1 & 5 Alternate Exterior Ex. 1 & 8 Alternate Interior Ex. 4 & 5 Consecutive Interior Ex. 3 & 5 1 2 3 4 5 6 7 8

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