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Published bySky Kinyon Modified over 2 years ago

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3.1 Identify Pairs of Lines and Angles

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Parallel Lines Coplanar Do not intersect Segments and rays are parallel if they lie on parallel lines. A D C B Triangles, like those above in red, indicate that 2 lines are parallel.

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Parallel planes if they never intersect

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A D E H G CB F

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A D E H G CB F

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Skew Lines: Do not intersect, but do not lie in the same plane. A D E H G CB

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A D E H G CB F

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A D E H G CB F

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Parallel Postulate #13: Parallel Postulate If there is a line and a point not on the line,

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Parallel Postulate #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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Perpendicular Postulate #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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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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