Section 3.1: Lines and Angles

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Presentation transcript:

Section 3.1: Lines and Angles

Goals Identify relationships between lines Identify angles formed by transversals

Relationships Between Lines Parallel Lines Coplanar lines that do not intersect Skew Lines Lines that do not intersect and are not coplanar Parallel Planes Planes that do not intersect Do example 1 on page 129

Examples of Skew Lines

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 l P

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 given line l P

Identifying Angles Formed by Transversals A line that intersects 2 or more coplanar lines at different points Usually the transversal is named t

Angles formed by transversals 1 t 2 3 4 5 6 7 8 Corresponding Angles 2 angles that occupy corresponding positions Angles 1 and 5 are corresponding angles

Angles formed by transversals 1 t 2 3 4 5 6 7 8 Alternate Exterior Angles 2 angles that lie outside the two lines on opposite sides of the transversal Angles 1 and 8 are alternate exterior angles

Angles formed by transversals 1 t 2 3 4 5 6 7 8 Alternate Interior Angles 2 angles that lie between the 2 lines on opposite sides of the transversal Angles 3 and 6 are alternate interior angles

Angles formed by transversals 1 t 2 3 4 5 6 7 8 Consecutive Interior Angles 2 angles that lie between the 2 lines on the same side of the transversal Angles 3 and 5 are consecutive interior angles (Consecutive interior angles are also called same side interior angles.)

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