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3.1 Lines and Angles Relationships between lines Identify angles formed by a transversal.

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Presentation on theme: "3.1 Lines and Angles Relationships between lines Identify angles formed by a transversal."— Presentation transcript:

1 3.1 Lines and Angles Relationships between lines Identify angles formed by a transversal

2 Lines that do not touch Parallel lines are coplanar lines that do not intersect Skew lines are noncoplanar lines that do not intersect.

3 Parallel line are shown with arrows in the line as well as the end

4 Parallel planes The floor and the ceiling are parallel planes. Hopefully they will not touch

5 Postulate 13 (can be proven with an indirect proof) 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.

6 Postulate 13 (can be proven with an indirect proof) 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.

7 Postulate 14 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.

8 Postulate 14 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.

9 Transversal line A transversal line is a line that cuts through 2 or more coplanar lines. 1 2 3 4 5 6 7 8

10 Transversal line A transversal line makes groups of angles. Corresponding Angles 1 2 3 4 5 6 7 8

11 Transversal line A transversal line makes groups of angles. Alternate Exterior Angles 1 2 3 4 5 6 7 8

12 Transversal line A transversal line makes groups of angles. Same Side Interior Angles 1 2 3 4 5 6 7 8

13 Homework Page 132 – 134 #10 – 26, 37, 41, 42 - 46 41, 42 - 46


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