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Lines and Angles
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Parallel lines – Coplanar lines that do not intersect. Symbol: ||
G F
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Parallel lines – Coplanar lines that do not intersect.
Symbol: || E A D H B C G F
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Parallel lines – Coplanar lines that do not intersect.
Symbol: || E A D H B C G F
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Skew lines – Lines that do not intersect and are not parallel because they are noncoplanar.
G F
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Skew lines – Lines that do not intersect and are not parallel because they are noncoplanar.
G F
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Skew lines – Lines that do not intersect and are not parallel because they are noncoplanar.
G F
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Parallel Planes – Planes that do not intersect.
B C G F
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Parallel Planes – Planes that do not intersect.
B C G F
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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
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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
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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
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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
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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
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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
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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
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