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3.1 Identify Pairs of Lines and Angles
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Parallel Lines Coplanar Do not intersect
Triangles, like those above in red, indicate that 2 lines are parallel. D B Coplanar Do not intersect Segments and rays are parallel if they lie on parallel lines. C
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Parallel planes if they never intersect
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B C D A F G E H
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B C A D F G E H
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Skew Lines: Do not intersect, but do not lie in the same plane.
G C B
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A D E H G C B F
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B C D A F G E H
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#13: Parallel Postulate If there is a line and a point not on the line,
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#13: Parallel Postulate If there is a line and a point not on the line, then there is exactly one line through the point and parallel to the line
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#14: Perpendicular Postulate
If there is a line and a point not on the line, then there is exactly one line through the point and perpendicular to the line
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Corresponding Angles Same side of transversal Corresponding position
Transversal; intersects 2 or more coplanar lines Corresponding Angles Same side of transversal Corresponding position
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Alternate Exterior Angles “Alternate” opposite sides of transversal “Exterior” outside of the two lines
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Alternate Interior Angles “Alternate” opposite sides of transversal “Interior” inside of the two lines
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Consecutive Interior Angles “Consecutive” “together”; same side of the transversal “Interior” inside of the two lines
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A#20: Page 150 #
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