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Published byAlan Mathews Modified over 9 years ago
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1. Differentiate intersecting, parallel, and skew lines; 2. Classify pairs of angles generated whenever two lines are cut by a transversal; and 3. Cite examples of parallel lines in real life.
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Are the horizontal lines parallel?
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are planes that do not intersect M N
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p q are coplanar and do not intersect R
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are not coplanar and do not intersect M N a b
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Theorem: If two parallel planes are cut by a third plane, the lines of intersection are parallel. A B C P S R D
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a line that intersects two coplanar lines in two different points a b c 1 2 3 4 56 78
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Corresponding angles are two nonadjacent angles on the same side of the transversal such that one is an exterior angle and the other is an interior angle. a b c 1 2 3 4 56 78
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Interior angles: Exterior angles: 3, 4, 5, and 6 1, 2, 7, and 8 a b c 1 2 3 4 56 78
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Alternate interior angles are two nonadjacent interior angles on opposite sides of the transversal. 3 & 5, 4 & 6 a b c 1 2 3 4 56 78
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Alternate exterior angles are two nonadjacent exterior angles on opposite sides of the transversal. 1 & 7, 2 & 8 a b c 1 2 3 4 56 78
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Same-side interior angles are two interior angles on the same side of the transversal. a b c 1 2 3 4 56 78 3 & 6, 4 & 5
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Same-side Exterior angles are two exterior angles on the same side of the transversal. a b c 1 2 3 4 56 78 1 & 8, 2 & 7
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12 34 5678 9 10 11 12 13 14 1516 Identify each angle pair as alternate interior, alternate exterior, same-side interior, same-side exterior, corresponding, or none of these. Try these
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12 34 5678 9 10 11 12 13 14 1516 1. 5 and 10 2. 6 and 7 3. 2 and 9
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12 34 5678 9 10 11 12 13 14 1516 4. 9 and 11 5. 5 and 8 6. 1 and 14
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