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 transcript:

Section 3.1

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

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

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

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)

Interior Interior Exterior Exterior

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

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

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

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

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

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

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

Class Work Pg # 12 – 40 even