3.1 identify pairs of lines and angles · lines m and k are skew lines. planes t and u are parallel...

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+ 3.1 Identify Pairs of Lines and Angles

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Page 1: 3.1 Identify Pairs of Lines and Angles · Lines m and k are skew lines. Planes T and U are parallel planes (T U). Lines k and n are intersecting lines, and there is a plane (not shown)

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3.1 Identify Pairs of Lines and Angles

Page 2: 3.1 Identify Pairs of Lines and Angles · Lines m and k are skew lines. Planes T and U are parallel planes (T U). Lines k and n are intersecting lines, and there is a plane (not shown)

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Skew Lines

Parallel Lines

Parallel Planes

Page 3: 3.1 Identify Pairs of Lines and Angles · Lines m and k are skew lines. Planes T and U are parallel planes (T U). Lines k and n are intersecting lines, and there is a plane (not shown)
Page 4: 3.1 Identify Pairs of Lines and Angles · Lines m and k are skew lines. Planes T and U are parallel planes (T U). Lines k and n are intersecting lines, and there is a plane (not shown)
Page 5: 3.1 Identify Pairs of Lines and Angles · Lines m and k are skew lines. Planes T and U are parallel planes (T U). Lines k and n are intersecting lines, and there is a plane (not shown)
Page 6: 3.1 Identify Pairs of Lines and Angles · Lines m and k are skew lines. Planes T and U are parallel planes (T U). Lines k and n are intersecting lines, and there is a plane (not shown)
Page 7: 3.1 Identify Pairs of Lines and Angles · Lines m and k are skew lines. Planes T and U are parallel planes (T U). Lines k and n are intersecting lines, and there is a plane (not shown)
Page 8: 3.1 Identify Pairs of Lines and Angles · Lines m and k are skew lines. Planes T and U are parallel planes (T U). Lines k and n are intersecting lines, and there is a plane (not shown)
Page 9: 3.1 Identify Pairs of Lines and Angles · Lines m and k are skew lines. Planes T and U are parallel planes (T U). Lines k and n are intersecting lines, and there is a plane (not shown)

+ Transversals: line that intersects two or more coplanar lines at different points

!  Corresponding Angles !  Alternate Interior Angles

!  Consecutive Interior Angles !  Alternate Exterior Angles

Page 10: 3.1 Identify Pairs of Lines and Angles · Lines m and k are skew lines. Planes T and U are parallel planes (T U). Lines k and n are intersecting lines, and there is a plane (not shown)
Page 11: 3.1 Identify Pairs of Lines and Angles · Lines m and k are skew lines. Planes T and U are parallel planes (T U). Lines k and n are intersecting lines, and there is a plane (not shown)

Corresponding Angles

Alternate Exterior Angles

Alternate Interior Angles

Page 12: 3.1 Identify Pairs of Lines and Angles · Lines m and k are skew lines. Planes T and U are parallel planes (T U). Lines k and n are intersecting lines, and there is a plane (not shown)

+Hwk p. 150 (3-23)