Lines and Angles.

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Presentation transcript:

Lines and Angles

Parallel lines – Coplanar lines that do not intersect. Symbol: || G F

Parallel lines – Coplanar lines that do not intersect. Symbol: || E A D H B C G F

Parallel lines – Coplanar lines that do not intersect. Symbol: || E A D H B C G F

Skew lines – Lines that do not intersect and are not parallel because they are noncoplanar. G F

Skew lines – Lines that do not intersect and are not parallel because they are noncoplanar. G F

Skew lines – Lines that do not intersect and are not parallel because they are noncoplanar. G F

Parallel Planes – Planes that do not intersect. B C G F

Parallel Planes – Planes that do not intersect. B C G F

Transversal – A line that intersects two or more coplanar lines at distinct points. 1 2 3 4 5 6 7 8 l m t transversal

Angles 3, 4, 5, and 6 lie between lines l and m Angles 3, 4, 5, and 6 lie between lines l and m. They are interior angles. transversal

Angles 1, 2, 7, and 8 lie outside lines l and m Angles 1, 2, 7, and 8 lie outside lines l and m. They are exterior angles. transversal

Alternate Interior Angles interior, nonadjacent, opposite sides of transversal 1 2 3 4 5 6 7 8 l m t 4 and 6 3 and 5

Alternate Exterior Angles exterior, nonadjacent, opposite sides of transversal 1 2 3 4 5 6 7 8 l m t 1 and 7 2 and 8

Corresponding Angles 1 and 5 2 and 6 4 and 8 3 and 7 same side of transversal, corresponding positions at each vertex 1 2 3 4 5 6 7 8 l m t 1 and 5 2 and 6 4 and 8 3 and 7

Same Side Interior Angles (Consecutive Interior Angles) interior, same side of transversal 1 2 3 4 5 6 7 8 l m t 4 and 5 3 and 6