Chapter 3.1: Identify Pairs of Lines and Angles

What angle pairs are formed by transversals? M11.B.2.1, M11.C.1.2

l m Parallel lines never intersect are coplanar The symbol for parallel lines is || If line l is parallel to line m you can represent it with l || m . When 2 drawn lines are parallel there will be little arrows or triangles on the lines. l m

Are these parallel judging by sight? m

Are these parallel? l m S

Are these parallel? g h

Are these parallel? y z

Parallel planes are two planes that do not intersect.

Perpendicular Planes are planes that intersect at a 90˚ angle.

g h Skewed Lines Skewed lines do not intersect, but are not coplanar. The last 2 examples were examples of skewed lines. g h Skewed Lines

Parallel Postulate If there is a line and a point not on that line, then you can draw only 1 line parallel to the line that passes through that point. . Not parallel

Perpendicular Postulate If there is a line and a point, then there is one line that passes through the point that is perpendicular to the line. Not Perpendicular .

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Transversals Transversals are lines that intersect two or more coplanar lines at different points. In other words a line that intersects 2 other lines. transversal

There are 4 different angle relationships created by a transversal Corresponding angles: same side of transversal and of the individual lines. (angles 2 and 6) Alternate interior: angles on the inside of the 2 lines, but on either side of the transversal. (angles 4 and 5)

Alternate exterior: angles on the outside of the lines, but on opposite sides of the transversal. (angles 1 and 8) Consecutive interior: angles on the inside of the lines and on the same side of the transversal. (angles 3 and 5)

Identify Corresponding Angles 2 1 3 4 5 6 7 8 Next Angle Relation

Identify Corresponding Angles 2 1 3 4 5 6 7 8

Identify Corresponding Angles 4 7 5 1 6 2 3 8

Identify Corresponding Angles 8 5 1 2 6 3 7 4

Identify Corresponding Angles 2 1 4 5 6 8 5 2 6 3 7 4

Identify Corresponding Angles 1 5 8 2 6 3 7 4

Identify Corresponding Angles 2 1 8 5 6 3 7 4

Identify Corresponding Angles 1 6 8 5 2 3 7 4

2 1 3 4 5 6 7 8

Correct!!!

    Wrong    

Identify Alternate Interior Angles 1 2 3 4 5 6 7 8 Next Angle Relation

Identify Alternate Interior Angles 1 2 3 4 5 6 7 8

Identify Alternate Interior Angles 1 2 3 4 5 6 7 8

Identify Alternate Interior Angles 1 2 3 4 5 6 7 8

Identify Alternate Interior Angles 1 2 3 4 5 6 7 8

Correct!!!

    Wrong    

Identify Alternate Exterior Angles 1 2 3 4 5 6 7 8 Next Angle Relation

Identify Alternate Exterior Angles 1 2 3 4 5 6 7 8

Identify Alternate Exterior Angles 1 2 3 4 5 6 7 8

Identify Alternate Exterior Angles 1 2 3 4 5 6 7 8

Identify Alternate Exterior Angles 1 2 3 4 5 6 7 8

Correct!!!

    Wrong    

Identify Consecutive Interior Angles 1 2 3 4 5 6 7 8 Next

Identify Consecutive Interior Angles 1 2 3 4 5 6 7 8

Identify Consecutive Interior Angles 1 2 3 4 5 6 7 8

Identify Consecutive Interior Angles 1 2 3 4 5 6 7 8

Identify Consecutive Interior Angles 1 2 3 4 5 6 7 8

Correct!!!

    Wrong    

Worksheet