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This lesson focuses on the definitions and relationships between geometric figures, specifically parallel lines and transversals. Students will learn to recognize and apply angle relationships formed by intersecting and parallel lines. Key concepts include skew lines, transversal definitions, and identifying angle types such as corresponding, alternate interior, and consecutive interior angles. By the end of the lesson, students will engage in exercises that reinforce their understanding of these geometric principles in relevance to Ohio Content Standards.
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Lesson 3-1 Parallel Lines and Transversals
Ohio Content Standards: Formally define geometric figures.
Ohio Content Standards: Recognize and apply angle relationships in situations involving intersecting lines, perpendicular lines and parallel lines.
Ohio Content Standards: Recognize the angles formed and the relationship between the angles when two lines intersect and when parallel lines are cut by a transversal.
Skew Lines Lines that do not intersect and are not coplanar.
G F B A Name all planes that are parallel to plane AEF. H E C D
G F B A Name all segments that intersect AF. H E C D
G F B A Name all segments that are parallel to DC. H E C D
G F B A Name all segments that are skew to AD. H E C D
Transversal A line that intersects two or more lines in a plane at different points.
Identify the sets of lines to which each given line is a transversal. u v w x z y
Identify the sets of lines to which each given line is a transversal. line v u v w x z y
Identify the sets of lines to which each given line is a transversal. line y u v w x z y
Identify the sets of lines to which each given line is a transversal. line u u v w x z y
Identify the sets of lines to which each given line is a transversal. line w u v w x z y
p 1 2 4 3 q exterior angles 5 6 r 8 7
p 1 2 4 3 q exterior angles 5 6 r 8 7
p 1 2 4 3 q interior angles 5 6 r 8 7
p 1 2 4 3 q interior angles 5 6 r 8 7
p 1 2 4 3 q consecutive interior angles 5 6 r 8 7
p 1 2 4 3 q consecutive interior angles 5 6 r 8 7
p 1 2 4 3 q alternate exterior angles 5 6 r 8 7
p 1 2 4 3 q alternate exterior angles 5 6 r 8 7
p 1 2 4 3 q alternate interior angles 5 6 r 8 7
p 1 2 4 3 q alternate interior angles 5 6 r 8 7
p 1 2 4 3 q corresponding angles 5 6 r 8 7
p 1 2 4 3 q corresponding angles 5 6 r 8 7
Identify each pair of angles as alternate, interior, alternate interior, alternate exterior, corresponding, or consecutive interior angles.
1 2 4 3 5 6 8 7 9 10 11 12 Identify each pair of angles as alternate, interior, alternate interior, alternate exterior, corresponding, or consecutive interior angles.
1 2 4 3 5 6 8 7 9 10 11 12 Identify each pair of angles as alternate, interior, alternate interior, alternate exterior, corresponding, or consecutive interior angles.
1 2 4 3 5 6 8 7 9 10 11 12 Identify each pair of angles as alternate, interior, alternate interior, alternate exterior, corresponding, or consecutive interior angles.
1 2 4 3 5 6 8 7 9 10 11 12 Identify each pair of angles as alternate, interior, alternate interior, alternate exterior, corresponding, or consecutive interior angles.
1 2 4 3 5 6 8 7 9 10 11 12 Identify each pair of angles as alternate, interior, alternate interior, alternate exterior, corresponding, or consecutive interior angles.
1 2 4 3 5 6 8 7 9 10 11 12 Identify each pair of angles as alternate, interior, alternate interior, alternate exterior, corresponding, or consecutive interior angles.
1 2 4 3 5 6 8 7 9 10 11 12 Identify each pair of angles as alternate, interior, alternate interior, alternate exterior, corresponding, or consecutive interior angles.
