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Section 3.1. Parallel Lines – coplanar lines that never intersect and have the same slope Parallel Lines – coplanar lines that never intersect and have.

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Presentation on theme: "Section 3.1. Parallel Lines – coplanar lines that never intersect and have the same slope Parallel Lines – coplanar lines that never intersect and have."— Presentation transcript:

1 Section 3.1

2 Parallel Lines – coplanar lines that never intersect and have the same slope Parallel Lines – coplanar lines that never intersect and have the same slope Skew Lines – non-coplanar lines that never intersect Skew Lines – non-coplanar lines that never intersect

3 Parallel planes – planes that do not intersect Parallel planes – planes that do not intersect ││ is the symbol for parallel ││ is the symbol for parallel

4 Transversal – a line that intersects two or more lines in a plane at different points Transversal – a line that intersects two or more lines in a plane at different points

5 Exterior Angle – An angle on the outside of one of the two lines (either above the top one or below the bottom one) Exterior Angle – An angle on the outside of one of the two lines (either above the top one or below the bottom one) Interior angle – An Angle on the inside of the two lines (or between the two lines) Interior angle – An Angle on the inside of the two lines (or between the two lines)

6 Interior Interior Exterior Exterior 6 2 34 5 1 78

7 Vertical Angles – Two angles that are vertically across from one another. Vertical Angles – Two angles that are vertically across from one another.

8 Corresponding Angles – Two angles on the same side of the line, one is interior and one is exterior, and they have different vertices. Corresponding Angles – Two angles on the same side of the line, one is interior and one is exterior, and they have different vertices. 6 2 34 5 1 78

9 Alternate Interior Angles – two angles on the interior, and on opposite sides of the transversal. Alternate Interior Angles – two angles on the interior, and on opposite sides of the transversal. 6 2 34 5 1 78

10 Alternate Exterior Angles - two angles on the exterior, and on opposite sides of the transversal. Alternate Exterior Angles - two angles on the exterior, and on opposite sides of the transversal. 6 2 34 5 1 78

11 Consecutive Interior Angles - two angles on the interior, and on the same sides of the transversal. Consecutive Interior Angles - two angles on the interior, and on the same sides of the transversal. 6 2 34 5 1 78

12 Consecutive Exterior Angles - two angles on the exterior, and on the same sides of the transversal Consecutive Exterior Angles - two angles on the exterior, and on the same sides of the transversal 6 2 34 5 1 78

13 Example: Name a pair of each type of angle 1.) Corresponding 2.) Alt. Interior 3.) Alt. Exterior 4.) Con. Interior 5.) Con. Exterior 6.) Vertical 6 2 3 4 5 1 7 8

14 Class Work Pg. 144 - 145 # 12 – 40 even


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